What is the Greatest Common Factor of 64128 and 64142?

Greatest common factor (GCF) of 64128 and 64142 is 2.

GCF(64128,64142) = 2

We will now calculate the prime factors of 64128 and 64142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64128 and 64142.

How to find the GCF of 64128 and 64142?

We will first find the prime factorization of 64128 and 64142. After we will calculate the factors of 64128 and 64142 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 64142

Prime factors of 64142 are 2, 13, 2467. Prime factorization of 64142 in exponential form is:

64142 = 2¹ × 13¹ × 2467¹

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 64142

List of positive integer factors of 64142 that divides 64128 without a remainder.

1, 2, 13, 26, 2467, 4934, 32071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64128 and 64142. The biggest common factor number is the GCF number.
So the greatest common factor 64128 and 64142 is 2.

Also check out the Least Common Multiple of 64128 and 64142