What is the Greatest Common Factor of 64925 and 64931?

Greatest common factor (GCF) of 64925 and 64931 is 1.

GCF(64925,64931) = 1

We will now calculate the prime factors of 64925 and 64931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64925 and 64931.

How to find the GCF of 64925 and 64931?

We will first find the prime factorization of 64925 and 64931. After we will calculate the factors of 64925 and 64931 and find the biggest common factor number .

Step-1: Prime Factorization of 64925

Prime factors of 64925 are 5, 7, 53. Prime factorization of 64925 in exponential form is:

64925 = 5² × 7² × 53¹

Step-2: Prime Factorization of 64931

Prime factors of 64931 are 29, 2239. Prime factorization of 64931 in exponential form is:

64931 = 29¹ × 2239¹

Step-3: Factors of 64925

List of positive integer factors of 64925 that divides 64925 without a remainder.

1, 5, 7, 25, 35, 49, 53, 175, 245, 265, 371, 1225, 1325, 1855, 2597, 9275, 12985

Step-4: Factors of 64931

List of positive integer factors of 64931 that divides 64925 without a remainder.

1, 29, 2239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64925 and 64931. The biggest common factor number is the GCF number.
So the greatest common factor 64925 and 64931 is 1.

Also check out the Least Common Multiple of 64925 and 64931