What is the Greatest Common Factor of 12564 and 12580?

Greatest common factor (GCF) of 12564 and 12580 is 4.

GCF(12564,12580) = 4

We will now calculate the prime factors of 12564 and 12580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12564 and 12580.

How to find the GCF of 12564 and 12580?

We will first find the prime factorization of 12564 and 12580. After we will calculate the factors of 12564 and 12580 and find the biggest common factor number .

Step-1: Prime Factorization of 12564

Prime factors of 12564 are 2, 3, 349. Prime factorization of 12564 in exponential form is:

12564 = 2² × 3² × 349¹

Step-2: Prime Factorization of 12580

Prime factors of 12580 are 2, 5, 17, 37. Prime factorization of 12580 in exponential form is:

12580 = 2² × 5¹ × 17¹ × 37¹

Step-3: Factors of 12564

List of positive integer factors of 12564 that divides 12564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 349, 698, 1047, 1396, 2094, 3141, 4188, 6282

Step-4: Factors of 12580

List of positive integer factors of 12580 that divides 12564 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 37, 68, 74, 85, 148, 170, 185, 340, 370, 629, 740, 1258, 2516, 3145, 6290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12564 and 12580. The biggest common factor number is the GCF number.
So the greatest common factor 12564 and 12580 is 4.

Also check out the Least Common Multiple of 12564 and 12580