What is the Greatest Common Factor of 56745 and 56757?

Greatest common factor (GCF) of 56745 and 56757 is 3.

GCF(56745,56757) = 3

We will now calculate the prime factors of 56745 and 56757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56745 and 56757.

How to find the GCF of 56745 and 56757?

We will first find the prime factorization of 56745 and 56757. After we will calculate the factors of 56745 and 56757 and find the biggest common factor number .

Step-1: Prime Factorization of 56745

Prime factors of 56745 are 3, 5, 13, 97. Prime factorization of 56745 in exponential form is:

56745 = 3² × 5¹ × 13¹ × 97¹

Step-2: Prime Factorization of 56757

Prime factors of 56757 are 3, 18919. Prime factorization of 56757 in exponential form is:

56757 = 3¹ × 18919¹

Step-3: Factors of 56745

List of positive integer factors of 56745 that divides 56745 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 97, 117, 195, 291, 485, 585, 873, 1261, 1455, 3783, 4365, 6305, 11349, 18915

Step-4: Factors of 56757

List of positive integer factors of 56757 that divides 56745 without a remainder.

1, 3, 18919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56745 and 56757. The biggest common factor number is the GCF number.
So the greatest common factor 56745 and 56757 is 3.

Also check out the Least Common Multiple of 56745 and 56757