What is the Greatest Common Factor of 64112 and 64124?

Greatest common factor (GCF) of 64112 and 64124 is 4.

GCF(64112,64124) = 4

We will now calculate the prime factors of 64112 and 64124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64112 and 64124.

How to find the GCF of 64112 and 64124?

We will first find the prime factorization of 64112 and 64124. After we will calculate the factors of 64112 and 64124 and find the biggest common factor number .

Step-1: Prime Factorization of 64112

Prime factors of 64112 are 2, 4007. Prime factorization of 64112 in exponential form is:

64112 = 2⁴ × 4007¹

Step-2: Prime Factorization of 64124

Prime factors of 64124 are 2, 17, 23, 41. Prime factorization of 64124 in exponential form is:

64124 = 2² × 17¹ × 23¹ × 41¹

Step-3: Factors of 64112

List of positive integer factors of 64112 that divides 64112 without a remainder.

1, 2, 4, 8, 16, 4007, 8014, 16028, 32056

Step-4: Factors of 64124

List of positive integer factors of 64124 that divides 64112 without a remainder.

1, 2, 4, 17, 23, 34, 41, 46, 68, 82, 92, 164, 391, 697, 782, 943, 1394, 1564, 1886, 2788, 3772, 16031, 32062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64112 and 64124. The biggest common factor number is the GCF number.
So the greatest common factor 64112 and 64124 is 4.

Also check out the Least Common Multiple of 64112 and 64124