What is the Greatest Common Factor of 64636 and 64647?

Greatest common factor (GCF) of 64636 and 64647 is 11.

GCF(64636,64647) = 11

We will now calculate the prime factors of 64636 and 64647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64636 and 64647.

How to find the GCF of 64636 and 64647?

We will first find the prime factorization of 64636 and 64647. After we will calculate the factors of 64636 and 64647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64647

Prime factors of 64647 are 3, 11, 653. Prime factorization of 64647 in exponential form is:

64647 = 3² × 11¹ × 653¹

Step-3: Factors of 64636

List of positive integer factors of 64636 that divides 64636 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

Step-4: Factors of 64647

List of positive integer factors of 64647 that divides 64636 without a remainder.

1, 3, 9, 11, 33, 99, 653, 1959, 5877, 7183, 21549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64636 and 64647. The biggest common factor number is the GCF number.
So the greatest common factor 64636 and 64647 is 11.

Also check out the Least Common Multiple of 64636 and 64647