What is the Greatest Common Factor of 56724 and 56740?

Greatest common factor (GCF) of 56724 and 56740 is 4.

GCF(56724,56740) = 4

We will now calculate the prime factors of 56724 and 56740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56724 and 56740.

How to find the GCF of 56724 and 56740?

We will first find the prime factorization of 56724 and 56740. After we will calculate the factors of 56724 and 56740 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 56740

Prime factors of 56740 are 2, 5, 2837. Prime factorization of 56740 in exponential form is:

56740 = 2² × 5¹ × 2837¹

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 56740

List of positive integer factors of 56740 that divides 56724 without a remainder.

1, 2, 4, 5, 10, 20, 2837, 5674, 11348, 14185, 28370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56724 and 56740. The biggest common factor number is the GCF number.
So the greatest common factor 56724 and 56740 is 4.

Also check out the Least Common Multiple of 56724 and 56740