What is the Greatest Common Factor of 64128 and 64140?

Greatest common factor (GCF) of 64128 and 64140 is 12.

GCF(64128,64140) = 12

We will now calculate the prime factors of 64128 and 64140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64128 and 64140.

How to find the GCF of 64128 and 64140?

We will first find the prime factorization of 64128 and 64140. After we will calculate the factors of 64128 and 64140 and find the biggest common factor number .

Step-1: Prime Factorization of 64128

Prime factors of 64128 are 2, 3, 167. Prime factorization of 64128 in exponential form is:

64128 = 2⁷ × 3¹ × 167¹

Step-2: Prime Factorization of 64140

Prime factors of 64140 are 2, 3, 5, 1069. Prime factorization of 64140 in exponential form is:

64140 = 2² × 3¹ × 5¹ × 1069¹

Step-3: Factors of 64128

List of positive integer factors of 64128 that divides 64128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 167, 192, 334, 384, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016, 10688, 16032, 21376, 32064

Step-4: Factors of 64140

List of positive integer factors of 64140 that divides 64128 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1069, 2138, 3207, 4276, 5345, 6414, 10690, 12828, 16035, 21380, 32070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64128 and 64140. The biggest common factor number is the GCF number.
So the greatest common factor 64128 and 64140 is 12.

Also check out the Least Common Multiple of 64128 and 64140