What is the Greatest Common Factor of 63056 and 63076?

Greatest common factor (GCF) of 63056 and 63076 is 4.

GCF(63056,63076) = 4

We will now calculate the prime factors of 63056 and 63076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63056 and 63076.

How to find the GCF of 63056 and 63076?

We will first find the prime factorization of 63056 and 63076. After we will calculate the factors of 63056 and 63076 and find the biggest common factor number .

Step-1: Prime Factorization of 63056

Prime factors of 63056 are 2, 7, 563. Prime factorization of 63056 in exponential form is:

63056 = 2⁴ × 7¹ × 563¹

Step-2: Prime Factorization of 63076

Prime factors of 63076 are 2, 13, 1213. Prime factorization of 63076 in exponential form is:

63076 = 2² × 13¹ × 1213¹

Step-3: Factors of 63056

List of positive integer factors of 63056 that divides 63056 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 563, 1126, 2252, 3941, 4504, 7882, 9008, 15764, 31528

Step-4: Factors of 63076

List of positive integer factors of 63076 that divides 63056 without a remainder.

1, 2, 4, 13, 26, 52, 1213, 2426, 4852, 15769, 31538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63056 and 63076. The biggest common factor number is the GCF number.
So the greatest common factor 63056 and 63076 is 4.

Also check out the Least Common Multiple of 63056 and 63076