What is the Greatest Common Factor of 12544 and 12564?

Greatest common factor (GCF) of 12544 and 12564 is 4.

GCF(12544,12564) = 4

We will now calculate the prime factors of 12544 and 12564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12544 and 12564.

How to find the GCF of 12544 and 12564?

We will first find the prime factorization of 12544 and 12564. After we will calculate the factors of 12544 and 12564 and find the biggest common factor number .

Step-1: Prime Factorization of 12544

Prime factors of 12544 are 2, 7. Prime factorization of 12544 in exponential form is:

12544 = 2⁸ × 7²

Step-2: 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-3: Factors of 12544

List of positive integer factors of 12544 that divides 12544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 784, 896, 1568, 1792, 3136, 6272

Step-4: Factors of 12564

List of positive integer factors of 12564 that divides 12544 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12544 and 12564. The biggest common factor number is the GCF number.
So the greatest common factor 12544 and 12564 is 4.

Also check out the Least Common Multiple of 12544 and 12564