What is the Greatest Common Factor of 56724 and 56741?

Greatest common factor (GCF) of 56724 and 56741 is 1.

GCF(56724,56741) = 1

We will now calculate the prime factors of 56724 and 56741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56724 and 56741.

How to find the GCF of 56724 and 56741?

We will first find the prime factorization of 56724 and 56741. After we will calculate the factors of 56724 and 56741 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 56741

Prime factors of 56741 are 23, 2467. Prime factorization of 56741 in exponential form is:

56741 = 23¹ × 2467¹

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 56741

List of positive integer factors of 56741 that divides 56724 without a remainder.

1, 23, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56724 and 56741. The biggest common factor number is the GCF number.
So the greatest common factor 56724 and 56741 is 1.

Also check out the Least Common Multiple of 56724 and 56741