What is the Greatest Common Factor of 51724 and 51740?

Greatest common factor (GCF) of 51724 and 51740 is 4.

GCF(51724,51740) = 4

We will now calculate the prime factors of 51724 and 51740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51724 and 51740.

How to find the GCF of 51724 and 51740?

We will first find the prime factorization of 51724 and 51740. After we will calculate the factors of 51724 and 51740 and find the biggest common factor number .

Step-1: Prime Factorization of 51724

Prime factors of 51724 are 2, 67, 193. Prime factorization of 51724 in exponential form is:

51724 = 2² × 67¹ × 193¹

Step-2: Prime Factorization of 51740

Prime factors of 51740 are 2, 5, 13, 199. Prime factorization of 51740 in exponential form is:

51740 = 2² × 5¹ × 13¹ × 199¹

Step-3: Factors of 51724

List of positive integer factors of 51724 that divides 51724 without a remainder.

1, 2, 4, 67, 134, 193, 268, 386, 772, 12931, 25862

Step-4: Factors of 51740

List of positive integer factors of 51740 that divides 51724 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 199, 260, 398, 796, 995, 1990, 2587, 3980, 5174, 10348, 12935, 25870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51724 and 51740. The biggest common factor number is the GCF number.
So the greatest common factor 51724 and 51740 is 4.

Also check out the Least Common Multiple of 51724 and 51740