What is the Greatest Common Factor of 56905 and 56925?

Greatest common factor (GCF) of 56905 and 56925 is 5.

GCF(56905,56925) = 5

We will now calculate the prime factors of 56905 and 56925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56905 and 56925.

How to find the GCF of 56905 and 56925?

We will first find the prime factorization of 56905 and 56925. After we will calculate the factors of 56905 and 56925 and find the biggest common factor number .

Step-1: Prime Factorization of 56905

Prime factors of 56905 are 5, 19, 599. Prime factorization of 56905 in exponential form is:

56905 = 5¹ × 19¹ × 599¹

Step-2: 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-3: Factors of 56905

List of positive integer factors of 56905 that divides 56905 without a remainder.

1, 5, 19, 95, 599, 2995, 11381

Step-4: Factors of 56925

List of positive integer factors of 56925 that divides 56905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56905 and 56925. The biggest common factor number is the GCF number.
So the greatest common factor 56905 and 56925 is 5.

Also check out the Least Common Multiple of 56905 and 56925