What is the Greatest Common Factor of 64925 and 64936?

Greatest common factor (GCF) of 64925 and 64936 is 1.

GCF(64925,64936) = 1

We will now calculate the prime factors of 64925 and 64936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64925 and 64936.

How to find the GCF of 64925 and 64936?

We will first find the prime factorization of 64925 and 64936. After we will calculate the factors of 64925 and 64936 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 64936

Prime factors of 64936 are 2, 8117. Prime factorization of 64936 in exponential form is:

64936 = 2³ × 8117¹

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 64936

List of positive integer factors of 64936 that divides 64925 without a remainder.

1, 2, 4, 8, 8117, 16234, 32468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64925 and 64936. The biggest common factor number is the GCF number.
So the greatest common factor 64925 and 64936 is 1.

Also check out the Least Common Multiple of 64925 and 64936