What is the Greatest Common Factor of 56725 and 56731?

Greatest common factor (GCF) of 56725 and 56731 is 1.

GCF(56725,56731) = 1

We will now calculate the prime factors of 56725 and 56731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56725 and 56731.

How to find the GCF of 56725 and 56731?

We will first find the prime factorization of 56725 and 56731. After we will calculate the factors of 56725 and 56731 and find the biggest common factor number .

Step-1: Prime Factorization of 56725

Prime factors of 56725 are 5, 2269. Prime factorization of 56725 in exponential form is:

56725 = 5² × 2269¹

Step-2: Prime Factorization of 56731

Prime factors of 56731 are 56731. Prime factorization of 56731 in exponential form is:

56731 = 56731¹

Step-3: Factors of 56725

List of positive integer factors of 56725 that divides 56725 without a remainder.

1, 5, 25, 2269, 11345

Step-4: Factors of 56731

List of positive integer factors of 56731 that divides 56725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56725 and 56731. The biggest common factor number is the GCF number.
So the greatest common factor 56725 and 56731 is 1.

Also check out the Least Common Multiple of 56725 and 56731