What is the Greatest Common Factor of 56875 and 56895?

Greatest common factor (GCF) of 56875 and 56895 is 5.

GCF(56875,56895) = 5

We will now calculate the prime factors of 56875 and 56895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56875 and 56895.

How to find the GCF of 56875 and 56895?

We will first find the prime factorization of 56875 and 56895. After we will calculate the factors of 56875 and 56895 and find the biggest common factor number .

Step-1: Prime Factorization of 56875

Prime factors of 56875 are 5, 7, 13. Prime factorization of 56875 in exponential form is:

56875 = 5⁴ × 7¹ × 13¹

Step-2: Prime Factorization of 56895

Prime factors of 56895 are 3, 5, 3793. Prime factorization of 56895 in exponential form is:

56895 = 3¹ × 5¹ × 3793¹

Step-3: Factors of 56875

List of positive integer factors of 56875 that divides 56875 without a remainder.

1, 5, 7, 13, 25, 35, 65, 91, 125, 175, 325, 455, 625, 875, 1625, 2275, 4375, 8125, 11375

Step-4: Factors of 56895

List of positive integer factors of 56895 that divides 56875 without a remainder.

1, 3, 5, 15, 3793, 11379, 18965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56875 and 56895. The biggest common factor number is the GCF number.
So the greatest common factor 56875 and 56895 is 5.

Also check out the Least Common Multiple of 56875 and 56895