What is the Greatest Common Factor of 64904 and 64924?

Greatest common factor (GCF) of 64904 and 64924 is 4.

GCF(64904,64924) = 4

We will now calculate the prime factors of 64904 and 64924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64904 and 64924.

How to find the GCF of 64904 and 64924?

We will first find the prime factorization of 64904 and 64924. After we will calculate the factors of 64904 and 64924 and find the biggest common factor number .

Step-1: Prime Factorization of 64904

Prime factors of 64904 are 2, 7, 19, 61. Prime factorization of 64904 in exponential form is:

64904 = 2³ × 7¹ × 19¹ × 61¹

Step-2: Prime Factorization of 64924

Prime factors of 64924 are 2, 16231. Prime factorization of 64924 in exponential form is:

64924 = 2² × 16231¹

Step-3: Factors of 64904

List of positive integer factors of 64904 that divides 64904 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 61, 76, 122, 133, 152, 244, 266, 427, 488, 532, 854, 1064, 1159, 1708, 2318, 3416, 4636, 8113, 9272, 16226, 32452

Step-4: Factors of 64924

List of positive integer factors of 64924 that divides 64904 without a remainder.

1, 2, 4, 16231, 32462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64904 and 64924. The biggest common factor number is the GCF number.
So the greatest common factor 64904 and 64924 is 4.

Also check out the Least Common Multiple of 64904 and 64924