What is the Greatest Common Factor of 56744 and 56748?

Greatest common factor (GCF) of 56744 and 56748 is 4.

GCF(56744,56748) = 4

We will now calculate the prime factors of 56744 and 56748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56744 and 56748.

How to find the GCF of 56744 and 56748?

We will first find the prime factorization of 56744 and 56748. After we will calculate the factors of 56744 and 56748 and find the biggest common factor number .

Step-1: Prime Factorization of 56744

Prime factors of 56744 are 2, 41, 173. Prime factorization of 56744 in exponential form is:

56744 = 2³ × 41¹ × 173¹

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 56744

List of positive integer factors of 56744 that divides 56744 without a remainder.

1, 2, 4, 8, 41, 82, 164, 173, 328, 346, 692, 1384, 7093, 14186, 28372

Step-4: Factors of 56748

List of positive integer factors of 56748 that divides 56744 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 56744 and 56748. The biggest common factor number is the GCF number.
So the greatest common factor 56744 and 56748 is 4.

Also check out the Least Common Multiple of 56744 and 56748