What is the Greatest Common Factor of 56544 and 56560?

Greatest common factor (GCF) of 56544 and 56560 is 16.

GCF(56544,56560) = 16

We will now calculate the prime factors of 56544 and 56560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56544 and 56560.

How to find the GCF of 56544 and 56560?

We will first find the prime factorization of 56544 and 56560. After we will calculate the factors of 56544 and 56560 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 56560

Prime factors of 56560 are 2, 5, 7, 101. Prime factorization of 56560 in exponential form is:

56560 = 2⁴ × 5¹ × 7¹ × 101¹

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 56560

List of positive integer factors of 56560 that divides 56544 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 101, 112, 140, 202, 280, 404, 505, 560, 707, 808, 1010, 1414, 1616, 2020, 2828, 3535, 4040, 5656, 7070, 8080, 11312, 14140, 28280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56544 and 56560. The biggest common factor number is the GCF number.
So the greatest common factor 56544 and 56560 is 16.

Also check out the Least Common Multiple of 56544 and 56560