What is the Greatest Common Factor of 12724 and 12737?

Greatest common factor (GCF) of 12724 and 12737 is 1.

GCF(12724,12737) = 1

We will now calculate the prime factors of 12724 and 12737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12724 and 12737.

How to find the GCF of 12724 and 12737?

We will first find the prime factorization of 12724 and 12737. After we will calculate the factors of 12724 and 12737 and find the biggest common factor number .

Step-1: Prime Factorization of 12724

Prime factors of 12724 are 2, 3181. Prime factorization of 12724 in exponential form is:

12724 = 2² × 3181¹

Step-2: Prime Factorization of 12737

Prime factors of 12737 are 47, 271. Prime factorization of 12737 in exponential form is:

12737 = 47¹ × 271¹

Step-3: Factors of 12724

List of positive integer factors of 12724 that divides 12724 without a remainder.

1, 2, 4, 3181, 6362

Step-4: Factors of 12737

List of positive integer factors of 12737 that divides 12724 without a remainder.

1, 47, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12724 and 12737. The biggest common factor number is the GCF number.
So the greatest common factor 12724 and 12737 is 1.

Also check out the Least Common Multiple of 12724 and 12737