What is the Greatest Common Factor of 64625 and 64636?

Greatest common factor (GCF) of 64625 and 64636 is 11.

GCF(64625,64636) = 11

We will now calculate the prime factors of 64625 and 64636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64625 and 64636.

How to find the GCF of 64625 and 64636?

We will first find the prime factorization of 64625 and 64636. After we will calculate the factors of 64625 and 64636 and find the biggest common factor number .

Step-1: Prime Factorization of 64625

Prime factors of 64625 are 5, 11, 47. Prime factorization of 64625 in exponential form is:

64625 = 5³ × 11¹ × 47¹

Step-2: Prime Factorization of 64636

Prime factors of 64636 are 2, 11, 13, 113. Prime factorization of 64636 in exponential form is:

64636 = 2² × 11¹ × 13¹ × 113¹

Step-3: Factors of 64625

List of positive integer factors of 64625 that divides 64625 without a remainder.

1, 5, 11, 25, 47, 55, 125, 235, 275, 517, 1175, 1375, 2585, 5875, 12925

Step-4: Factors of 64636

List of positive integer factors of 64636 that divides 64625 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 113, 143, 226, 286, 452, 572, 1243, 1469, 2486, 2938, 4972, 5876, 16159, 32318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64625 and 64636. The biggest common factor number is the GCF number.
So the greatest common factor 64625 and 64636 is 11.

Also check out the Least Common Multiple of 64625 and 64636