What is the Greatest Common Factor of 56544 and 56564?

Greatest common factor (GCF) of 56544 and 56564 is 4.

GCF(56544,56564) = 4

We will now calculate the prime factors of 56544 and 56564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56544 and 56564.

How to find the GCF of 56544 and 56564?

We will first find the prime factorization of 56544 and 56564. After we will calculate the factors of 56544 and 56564 and find the biggest common factor number .

Step-1: Prime Factorization of 56544

Prime factors of 56544 are 2, 3, 19, 31. Prime factorization of 56544 in exponential form is:

56544 = 2⁵ × 3¹ × 19¹ × 31¹

Step-2: Prime Factorization of 56564

Prime factors of 56564 are 2, 79, 179. Prime factorization of 56564 in exponential form is:

56564 = 2² × 79¹ × 179¹

Step-3: Factors of 56544

List of positive integer factors of 56544 that divides 56544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 31, 32, 38, 48, 57, 62, 76, 93, 96, 114, 124, 152, 186, 228, 248, 304, 372, 456, 496, 589, 608, 744, 912, 992, 1178, 1488, 1767, 1824, 2356, 2976, 3534, 4712, 7068, 9424, 14136, 18848, 28272

Step-4: Factors of 56564

List of positive integer factors of 56564 that divides 56544 without a remainder.

1, 2, 4, 79, 158, 179, 316, 358, 716, 14141, 28282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56544 and 56564. The biggest common factor number is the GCF number.
So the greatest common factor 56544 and 56564 is 4.

Also check out the Least Common Multiple of 56544 and 56564