What is the Greatest Common Factor of 56544 and 56563?

Greatest common factor (GCF) of 56544 and 56563 is 19.

GCF(56544,56563) = 19

We will now calculate the prime factors of 56544 and 56563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56544 and 56563.

How to find the GCF of 56544 and 56563?

We will first find the prime factorization of 56544 and 56563. After we will calculate the factors of 56544 and 56563 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 56563

Prime factors of 56563 are 13, 19, 229. Prime factorization of 56563 in exponential form is:

56563 = 13¹ × 19¹ × 229¹

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 56563

List of positive integer factors of 56563 that divides 56544 without a remainder.

1, 13, 19, 229, 247, 2977, 4351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56544 and 56563. The biggest common factor number is the GCF number.
So the greatest common factor 56544 and 56563 is 19.

Also check out the Least Common Multiple of 56544 and 56563