What is the Greatest Common Factor of 56724 and 56731?

Greatest common factor (GCF) of 56724 and 56731 is 1.

GCF(56724,56731) = 1

We will now calculate the prime factors of 56724 and 56731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56724 and 56731.

How to find the GCF of 56724 and 56731?

We will first find the prime factorization of 56724 and 56731. After we will calculate the factors of 56724 and 56731 and find the biggest common factor number .

Step-1: Prime Factorization of 56724

Prime factors of 56724 are 2, 3, 29, 163. Prime factorization of 56724 in exponential form is:

56724 = 2² × 3¹ × 29¹ × 163¹

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 56724

List of positive integer factors of 56724 that divides 56724 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 163, 174, 326, 348, 489, 652, 978, 1956, 4727, 9454, 14181, 18908, 28362

Step-4: Factors of 56731

List of positive integer factors of 56731 that divides 56724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56724 and 56731. The biggest common factor number is the GCF number.
So the greatest common factor 56724 and 56731 is 1.

Also check out the Least Common Multiple of 56724 and 56731