What is the Greatest Common Factor of 14724 and 14737?

Greatest common factor (GCF) of 14724 and 14737 is 1.

GCF(14724,14737) = 1

We will now calculate the prime factors of 14724 and 14737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14724 and 14737.

How to find the GCF of 14724 and 14737?

We will first find the prime factorization of 14724 and 14737. After we will calculate the factors of 14724 and 14737 and find the biggest common factor number .

Step-1: Prime Factorization of 14724

Prime factors of 14724 are 2, 3, 409. Prime factorization of 14724 in exponential form is:

14724 = 2² × 3² × 409¹

Step-2: Prime Factorization of 14737

Prime factors of 14737 are 14737. Prime factorization of 14737 in exponential form is:

14737 = 14737¹

Step-3: Factors of 14724

List of positive integer factors of 14724 that divides 14724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 409, 818, 1227, 1636, 2454, 3681, 4908, 7362

Step-4: Factors of 14737

List of positive integer factors of 14737 that divides 14724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14724 and 14737. The biggest common factor number is the GCF number.
So the greatest common factor 14724 and 14737 is 1.

Also check out the Least Common Multiple of 14724 and 14737