What is the Greatest Common Factor of 56528 and 56544?

Greatest common factor (GCF) of 56528 and 56544 is 16.

GCF(56528,56544) = 16

We will now calculate the prime factors of 56528 and 56544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56528 and 56544.

How to find the GCF of 56528 and 56544?

We will first find the prime factorization of 56528 and 56544. After we will calculate the factors of 56528 and 56544 and find the biggest common factor number .

Step-1: Prime Factorization of 56528

Prime factors of 56528 are 2, 3533. Prime factorization of 56528 in exponential form is:

56528 = 2⁴ × 3533¹

Step-2: 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-3: Factors of 56528

List of positive integer factors of 56528 that divides 56528 without a remainder.

1, 2, 4, 8, 16, 3533, 7066, 14132, 28264

Step-4: Factors of 56544

List of positive integer factors of 56544 that divides 56528 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56528 and 56544. The biggest common factor number is the GCF number.
So the greatest common factor 56528 and 56544 is 16.

Also check out the Least Common Multiple of 56528 and 56544