What is the Greatest Common Factor of 64636 and 64649?

Greatest common factor (GCF) of 64636 and 64649 is 13.

GCF(64636,64649) = 13

We will now calculate the prime factors of 64636 and 64649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64636 and 64649.

How to find the GCF of 64636 and 64649?

We will first find the prime factorization of 64636 and 64649. After we will calculate the factors of 64636 and 64649 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 64649

Prime factors of 64649 are 13, 4973. Prime factorization of 64649 in exponential form is:

64649 = 13¹ × 4973¹

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 64649

List of positive integer factors of 64649 that divides 64636 without a remainder.

1, 13, 4973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64636 and 64649. The biggest common factor number is the GCF number.
So the greatest common factor 64636 and 64649 is 13.

Also check out the Least Common Multiple of 64636 and 64649