What is the Greatest Common Factor of 56496 and 56512?

Greatest common factor (GCF) of 56496 and 56512 is 16.

GCF(56496,56512) = 16

We will now calculate the prime factors of 56496 and 56512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56496 and 56512.

How to find the GCF of 56496 and 56512?

We will first find the prime factorization of 56496 and 56512. After we will calculate the factors of 56496 and 56512 and find the biggest common factor number .

Step-1: Prime Factorization of 56496

Prime factors of 56496 are 2, 3, 11, 107. Prime factorization of 56496 in exponential form is:

56496 = 2⁴ × 3¹ × 11¹ × 107¹

Step-2: Prime Factorization of 56512

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

56512 = 2⁶ × 883¹

Step-3: Factors of 56496

List of positive integer factors of 56496 that divides 56496 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 107, 132, 176, 214, 264, 321, 428, 528, 642, 856, 1177, 1284, 1712, 2354, 2568, 3531, 4708, 5136, 7062, 9416, 14124, 18832, 28248

Step-4: Factors of 56512

List of positive integer factors of 56512 that divides 56496 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56496 and 56512. The biggest common factor number is the GCF number.
So the greatest common factor 56496 and 56512 is 16.

Also check out the Least Common Multiple of 56496 and 56512