What is the Greatest Common Factor of 14624 and 14636?

Greatest common factor (GCF) of 14624 and 14636 is 4.

GCF(14624,14636) = 4

We will now calculate the prime factors of 14624 and 14636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14624 and 14636.

How to find the GCF of 14624 and 14636?

We will first find the prime factorization of 14624 and 14636. After we will calculate the factors of 14624 and 14636 and find the biggest common factor number .

Step-1: Prime Factorization of 14624

Prime factors of 14624 are 2, 457. Prime factorization of 14624 in exponential form is:

14624 = 2⁵ × 457¹

Step-2: Prime Factorization of 14636

Prime factors of 14636 are 2, 3659. Prime factorization of 14636 in exponential form is:

14636 = 2² × 3659¹

Step-3: Factors of 14624

List of positive integer factors of 14624 that divides 14624 without a remainder.

1, 2, 4, 8, 16, 32, 457, 914, 1828, 3656, 7312

Step-4: Factors of 14636

List of positive integer factors of 14636 that divides 14624 without a remainder.

1, 2, 4, 3659, 7318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14624 and 14636. The biggest common factor number is the GCF number.
So the greatest common factor 14624 and 14636 is 4.

Also check out the Least Common Multiple of 14624 and 14636