What is the Greatest Common Factor of 56512 and 56528?

Greatest common factor (GCF) of 56512 and 56528 is 16.

GCF(56512,56528) = 16

We will now calculate the prime factors of 56512 and 56528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56512 and 56528.

How to find the GCF of 56512 and 56528?

We will first find the prime factorization of 56512 and 56528. After we will calculate the factors of 56512 and 56528 and find the biggest common factor number .

Step-1: Prime Factorization of 56512

Prime factors of 56512 are 2, 883. Prime factorization of 56512 in exponential form is:

56512 = 2⁶ × 883¹

Step-2: Prime Factorization of 56528

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

56528 = 2⁴ × 3533¹

Step-3: Factors of 56512

List of positive integer factors of 56512 that divides 56512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 883, 1766, 3532, 7064, 14128, 28256

Step-4: Factors of 56528

List of positive integer factors of 56528 that divides 56512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56512 and 56528. The biggest common factor number is the GCF number.
So the greatest common factor 56512 and 56528 is 16.

Also check out the Least Common Multiple of 56512 and 56528