What is the Greatest Common Factor of 14705 and 14724?

Greatest common factor (GCF) of 14705 and 14724 is 1.

GCF(14705,14724) = 1

We will now calculate the prime factors of 14705 and 14724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14705 and 14724.

How to find the GCF of 14705 and 14724?

We will first find the prime factorization of 14705 and 14724. After we will calculate the factors of 14705 and 14724 and find the biggest common factor number .

Step-1: Prime Factorization of 14705

Prime factors of 14705 are 5, 17, 173. Prime factorization of 14705 in exponential form is:

14705 = 5¹ × 17¹ × 173¹

Step-2: 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-3: Factors of 14705

List of positive integer factors of 14705 that divides 14705 without a remainder.

1, 5, 17, 85, 173, 865, 2941

Step-4: Factors of 14724

List of positive integer factors of 14724 that divides 14705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14705 and 14724. The biggest common factor number is the GCF number.
So the greatest common factor 14705 and 14724 is 1.

Also check out the Least Common Multiple of 14705 and 14724