What is the Greatest Common Factor of 56475 and 56487?

Greatest common factor (GCF) of 56475 and 56487 is 3.

GCF(56475,56487) = 3

We will now calculate the prime factors of 56475 and 56487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56475 and 56487.

How to find the GCF of 56475 and 56487?

We will first find the prime factorization of 56475 and 56487. After we will calculate the factors of 56475 and 56487 and find the biggest common factor number .

Step-1: Prime Factorization of 56475

Prime factors of 56475 are 3, 5, 251. Prime factorization of 56475 in exponential form is:

56475 = 3² × 5² × 251¹

Step-2: Prime Factorization of 56487

Prime factors of 56487 are 3, 19, 991. Prime factorization of 56487 in exponential form is:

56487 = 3¹ × 19¹ × 991¹

Step-3: Factors of 56475

List of positive integer factors of 56475 that divides 56475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 251, 753, 1255, 2259, 3765, 6275, 11295, 18825

Step-4: Factors of 56487

List of positive integer factors of 56487 that divides 56475 without a remainder.

1, 3, 19, 57, 991, 2973, 18829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56475 and 56487. The biggest common factor number is the GCF number.
So the greatest common factor 56475 and 56487 is 3.

Also check out the Least Common Multiple of 56475 and 56487