What is the Greatest Common Factor of 56736 and 56748?

Greatest common factor (GCF) of 56736 and 56748 is 12.

GCF(56736,56748) = 12

We will now calculate the prime factors of 56736 and 56748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56736 and 56748.

How to find the GCF of 56736 and 56748?

We will first find the prime factorization of 56736 and 56748. After we will calculate the factors of 56736 and 56748 and find the biggest common factor number .

Step-1: Prime Factorization of 56736

Prime factors of 56736 are 2, 3, 197. Prime factorization of 56736 in exponential form is:

56736 = 2⁵ × 3² × 197¹

Step-2: Prime Factorization of 56748

Prime factors of 56748 are 2, 3, 4729. Prime factorization of 56748 in exponential form is:

56748 = 2² × 3¹ × 4729¹

Step-3: Factors of 56736

List of positive integer factors of 56736 that divides 56736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 197, 288, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 6304, 7092, 9456, 14184, 18912, 28368

Step-4: Factors of 56748

List of positive integer factors of 56748 that divides 56736 without a remainder.

1, 2, 3, 4, 6, 12, 4729, 9458, 14187, 18916, 28374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56736 and 56748. The biggest common factor number is the GCF number.
So the greatest common factor 56736 and 56748 is 12.

Also check out the Least Common Multiple of 56736 and 56748