What is the Greatest Common Factor of 64914 and 64925?

Greatest common factor (GCF) of 64914 and 64925 is 1.

GCF(64914,64925) = 1

We will now calculate the prime factors of 64914 and 64925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64914 and 64925.

How to find the GCF of 64914 and 64925?

We will first find the prime factorization of 64914 and 64925. After we will calculate the factors of 64914 and 64925 and find the biggest common factor number .

Step-1: Prime Factorization of 64914

Prime factors of 64914 are 2, 3, 31, 349. Prime factorization of 64914 in exponential form is:

64914 = 2¹ × 3¹ × 31¹ × 349¹

Step-2: 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-3: Factors of 64914

List of positive integer factors of 64914 that divides 64914 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 349, 698, 1047, 2094, 10819, 21638, 32457

Step-4: Factors of 64925

List of positive integer factors of 64925 that divides 64914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64914 and 64925. The biggest common factor number is the GCF number.
So the greatest common factor 64914 and 64925 is 1.

Also check out the Least Common Multiple of 64914 and 64925