diff --git a/CMakeLists.txt b/CMakeLists.txt
index 8cfb85b..7dd1253 100755
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -76,14 +76,19 @@ ENDIF(BUILD_SHARED_LIBS)
 
 # Find curl library, for HTTPS support:
 IF(USE_CURL)
-   FIND_PACKAGE(CURL)
+   FIND_PACKAGE(CURL REQUIRED)
    IF(CURL_FOUND)
       ADD_DEFINITIONS(-DCFITSIO_HAVE_CURL)
    ENDIF()
 ENDIF()
 
 IF(USE_PTHREADS)
-   FIND_PACKAGE(Threads REQUIRED)
+   IF(WIN32 AND NOT MINGW)
+      FIND_PACKAGE(PThreads4W REQUIRED)
+      ADD_DEFINITIONS(-Dstrtok_r=strtok_s)
+   ELSE()
+      FIND_PACKAGE(Threads REQUIRED)
+   ENDIF()
    ADD_DEFINITIONS(-D_REENTRANT)
 ENDIF(USE_PTHREADS)
 
@@ -96,7 +101,8 @@ ENDIF(USE_BZIP2)
 IF(MSVC OR MINGW)
    SET(M_LIB "")
 ELSE()
-   FIND_LIBRARY(M_LIB m)
+   SET(M_LIB m)
+   SET(PKG_CONFIG_LIBS "${PKG_CONFIG_LIBS} -lm")
 ENDIF()
 
 # Support for remote file drivers is not implemented for native Windows:
@@ -255,31 +261,29 @@ set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${CMAKE_SOURCE_DIR}")
 ADD_LIBRARY(${LIB_NAME} ${LIB_TYPE} ${H_FILES} ${SRC_FILES})
 
 # Math:
-TARGET_LINK_LIBRARIES(${LIB_NAME} ${M_LIB})
+TARGET_LINK_LIBRARIES(${LIB_NAME} PRIVATE ${M_LIB})
 # zlib:
 IF (ZLIB_FOUND)
-    TARGET_INCLUDE_DIRECTORIES(${LIB_NAME} PUBLIC ${ZLIB_INCLUDE_DIR})
-    TARGET_LINK_LIBRARIES(${LIB_NAME} ${ZLIB_LIBRARIES})
-    # For cfitsio.pc.cmake:
-    SET (PKG_CONFIG_LIBS "${PKG_CONFIG_LIBS} -lz")
+    TARGET_LINK_LIBRARIES(${LIB_NAME} PRIVATE ZLIB::ZLIB)
+    STRING(APPEND PKG_CONFIG_REQUIRES_PRIVATE " zlib")
 ENDIF(ZLIB_FOUND)
 # cURL:
 IF (CURL_FOUND)
-    TARGET_INCLUDE_DIRECTORIES(${LIB_NAME} PUBLIC ${CURL_INCLUDE_DIRS})
-    TARGET_LINK_LIBRARIES(${LIB_NAME} ${CURL_LIBRARIES})
+    TARGET_LINK_LIBRARIES(${LIB_NAME} PRIVATE CURL::libcurl)
     # For cfitsio.pc.cmake:
-    SET (PKG_CONFIG_LIBS "${PKG_CONFIG_LIBS} -lcurl")
+    STRING(APPEND PKG_CONFIG_REQUIRES_PRIVATE " libcurl")
 ENDIF(CURL_FOUND)
 # PThreads:
-IF (THREADS_FOUND)
-    TARGET_LINK_LIBRARIES(${LIB_NAME} Threads::Threads)
+IF (PThreads4W_FOUND)
+    TARGET_LINK_LIBRARIES(${LIB_NAME} PUBLIC PThreads4W::PThreads4W)
+ELSEIF (THREADS_FOUND)
+    TARGET_LINK_LIBRARIES(${LIB_NAME} PUBLIC Threads::Threads)
 ENDIF(THREADS_FOUND)
 # BZip2:
-IF (BZIP2_FOUND)
-    TARGET_INCLUDE_DIRECTORIES(${LIB_NAME} PUBLIC ${BZIP2_INCLUDE_DIRS})
-    TARGET_LINK_LIBRARIES(${LIB_NAME} ${BZIP2_LIBRARIES})
-    SET (PKG_CONFIG_LIBS "${PKG_CONFIG_LIBS} -lbz2")
-ENDIF(BZIP2_FOUND)
+IF (BZip2_FOUND)
+    TARGET_LINK_LIBRARIES(${LIB_NAME} PRIVATE BZip2::BZip2)
+    string(APPEND PKG_CONFIG_REQUIRES_PRIVATE " bzip2")
+ENDIF(BZip2_FOUND)
 
 #==============================================================================
 
@@ -326,9 +330,10 @@ install(EXPORT cfitsioTargets
   DESTINATION
     ${ConfigPackageLocation}
 )
+configure_file("${CMAKE_CURRENT_SOURCE_DIR}/cmake/cfitsioConfig.cmake" "${CMAKE_CURRENT_BINARY_DIR}/cfitsioConfig.cmake" @ONLY)
 install(
   FILES
-    cmake/cfitsioConfig.cmake
+    "${CMAKE_CURRENT_BINARY_DIR}/cfitsioConfig.cmake"
     "${CMAKE_CURRENT_BINARY_DIR}/cfitsio/cfitsioConfigVersion.cmake"
   DESTINATION
     ${ConfigPackageLocation}
diff --git a/cfitsio.pc.cmake b/cfitsio.pc.cmake
index 949b80e..3dce033 100644
--- a/cfitsio.pc.cmake
+++ b/cfitsio.pc.cmake
@@ -8,5 +8,6 @@ Description: FITS File Subroutine Library
 URL: https://heasarc.gsfc.nasa.gov/fitsio/
 Version: @CFITSIO_MAJOR@.@CFITSIO_MINOR@.@CFITSIO_MICRO@
 Libs: -L${libdir} -lcfitsio
-Libs.private: @PKG_CONFIG_LIBS@ -lm
+Libs.private: @PKG_CONFIG_LIBS@
+Requires.private: @PKG_CONFIG_REQUIRES_PRIVATE@
 Cflags: -I${includedir}
diff --git a/cmake/cfitsioConfig.cmake b/cmake/cfitsioConfig.cmake
index b3c3aa3..9479ffc 100644
--- a/cmake/cfitsioConfig.cmake
+++ b/cmake/cfitsioConfig.cmake
@@ -1 +1,18 @@
+include(CMakeFindDependencyMacro)
+if("@USE_PTHREADS@")
+    if(WIN32 AND NOT MINGW)
+        find_dependency(PThreads4W)
+    else()
+        find_dependency(Threads)
+    endif()
+endif()
+if(NOT "@BUILD_SHARED_LIBS@")
+    find_dependency(ZLIB)
+    if("@USE_CURL@")
+        find_dependency(CURL)
+    endif()
+    if("@USE_BZIP2@")
+        find_dependency(BZip2)
+    endif()
+endif()
 include("${CMAKE_CURRENT_LIST_DIR}/cfitsioTargets.cmake")