What is the Greatest Common Factor of 63564 and 63580?

Greatest common factor (GCF) of 63564 and 63580 is 4.

GCF(63564,63580) = 4

We will now calculate the prime factors of 63564 and 63580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63564 and 63580.

How to find the GCF of 63564 and 63580?

We will first find the prime factorization of 63564 and 63580. After we will calculate the factors of 63564 and 63580 and find the biggest common factor number .

Step-1: Prime Factorization of 63564

Prime factors of 63564 are 2, 3, 5297. Prime factorization of 63564 in exponential form is:

63564 = 2² × 3¹ × 5297¹

Step-2: Prime Factorization of 63580

Prime factors of 63580 are 2, 5, 11, 17. Prime factorization of 63580 in exponential form is:

63580 = 2² × 5¹ × 11¹ × 17²

Step-3: Factors of 63564

List of positive integer factors of 63564 that divides 63564 without a remainder.

1, 2, 3, 4, 6, 12, 5297, 10594, 15891, 21188, 31782

Step-4: Factors of 63580

List of positive integer factors of 63580 that divides 63564 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 289, 340, 374, 578, 748, 935, 1156, 1445, 1870, 2890, 3179, 3740, 5780, 6358, 12716, 15895, 31790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63564 and 63580. The biggest common factor number is the GCF number.
So the greatest common factor 63564 and 63580 is 4.

Also check out the Least Common Multiple of 63564 and 63580