What is the Greatest Common Factor of 56775 and 56795?

Greatest common factor (GCF) of 56775 and 56795 is 5.

GCF(56775,56795) = 5

We will now calculate the prime factors of 56775 and 56795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56775 and 56795.

How to find the GCF of 56775 and 56795?

We will first find the prime factorization of 56775 and 56795. After we will calculate the factors of 56775 and 56795 and find the biggest common factor number .

Step-1: Prime Factorization of 56775

Prime factors of 56775 are 3, 5, 757. Prime factorization of 56775 in exponential form is:

56775 = 3¹ × 5² × 757¹

Step-2: Prime Factorization of 56795

Prime factors of 56795 are 5, 37, 307. Prime factorization of 56795 in exponential form is:

56795 = 5¹ × 37¹ × 307¹

Step-3: Factors of 56775

List of positive integer factors of 56775 that divides 56775 without a remainder.

1, 3, 5, 15, 25, 75, 757, 2271, 3785, 11355, 18925

Step-4: Factors of 56795

List of positive integer factors of 56795 that divides 56775 without a remainder.

1, 5, 37, 185, 307, 1535, 11359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56775 and 56795. The biggest common factor number is the GCF number.
So the greatest common factor 56775 and 56795 is 5.

Also check out the Least Common Multiple of 56775 and 56795