What is the Greatest Common Factor of 64056 and 64076?

Greatest common factor (GCF) of 64056 and 64076 is 4.

GCF(64056,64076) = 4

We will now calculate the prime factors of 64056 and 64076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64056 and 64076.

How to find the GCF of 64056 and 64076?

We will first find the prime factorization of 64056 and 64076. After we will calculate the factors of 64056 and 64076 and find the biggest common factor number .

Step-1: Prime Factorization of 64056

Prime factors of 64056 are 2, 3, 17, 157. Prime factorization of 64056 in exponential form is:

64056 = 2³ × 3¹ × 17¹ × 157¹

Step-2: Prime Factorization of 64076

Prime factors of 64076 are 2, 83, 193. Prime factorization of 64076 in exponential form is:

64076 = 2² × 83¹ × 193¹

Step-3: Factors of 64056

List of positive integer factors of 64056 that divides 64056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 157, 204, 314, 408, 471, 628, 942, 1256, 1884, 2669, 3768, 5338, 8007, 10676, 16014, 21352, 32028

Step-4: Factors of 64076

List of positive integer factors of 64076 that divides 64056 without a remainder.

1, 2, 4, 83, 166, 193, 332, 386, 772, 16019, 32038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64056 and 64076. The biggest common factor number is the GCF number.
So the greatest common factor 64056 and 64076 is 4.

Also check out the Least Common Multiple of 64056 and 64076