What is the Greatest Common Factor of 56925 and 56939?

Greatest common factor (GCF) of 56925 and 56939 is 1.

GCF(56925,56939) = 1

We will now calculate the prime factors of 56925 and 56939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56925 and 56939.

How to find the GCF of 56925 and 56939?

We will first find the prime factorization of 56925 and 56939. After we will calculate the factors of 56925 and 56939 and find the biggest common factor number .

Step-1: Prime Factorization of 56925

Prime factors of 56925 are 3, 5, 11, 23. Prime factorization of 56925 in exponential form is:

56925 = 3² × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 56939

Prime factors of 56939 are 97, 587. Prime factorization of 56939 in exponential form is:

56939 = 97¹ × 587¹

Step-3: Factors of 56925

List of positive integer factors of 56925 that divides 56925 without a remainder.

1, 3, 5, 9, 11, 15, 23, 25, 33, 45, 55, 69, 75, 99, 115, 165, 207, 225, 253, 275, 345, 495, 575, 759, 825, 1035, 1265, 1725, 2277, 2475, 3795, 5175, 6325, 11385, 18975

Step-4: Factors of 56939

List of positive integer factors of 56939 that divides 56925 without a remainder.

1, 97, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56925 and 56939. The biggest common factor number is the GCF number.
So the greatest common factor 56925 and 56939 is 1.

Also check out the Least Common Multiple of 56925 and 56939