What is the Greatest Common Factor of 56496 and 56507?

Greatest common factor (GCF) of 56496 and 56507 is 11.

GCF(56496,56507) = 11

We will now calculate the prime factors of 56496 and 56507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56496 and 56507.

How to find the GCF of 56496 and 56507?

We will first find the prime factorization of 56496 and 56507. After we will calculate the factors of 56496 and 56507 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 56507

Prime factors of 56507 are 11, 467. Prime factorization of 56507 in exponential form is:

56507 = 11² × 467¹

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 56507

List of positive integer factors of 56507 that divides 56496 without a remainder.

1, 11, 121, 467, 5137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56496 and 56507. The biggest common factor number is the GCF number.
So the greatest common factor 56496 and 56507 is 11.

Also check out the Least Common Multiple of 56496 and 56507