Solution: The GCF of 71 and 71 is 71MethodsHow to find the GCF of 71 and 71 using Prime FactorizationOne way to find the GCF of 71 and 71 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 71?What are the Factors of 71?Here is the prime factorization of 71:71171^1711And this is the prime factorization of 71:71171^1711When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 71 and 71 by multiplying all the matching prime factors to get a GCF of 71 and 71 as 5041:Thus, the GCF of 71 and 71 is: 5041How to Find the GCF of 71 and 71 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 71 and 71 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.Let’s take a look at the factors for each of these numbers, 71 and 71:Factors of 71: 1, 71Factors of 71: 1, 71When you compare the two lists of factors, you can see that the common factor(s) are 1, 71. Since 71 is the largest of these common factors, the GCF of 71 and 71 would be 71.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 15 and 117?What is the GCF of 2 and 150?What is the GCF of 11 and 146?What is the GCF of 101 and 81?What is the GCF of 115 and 16?