What is the Greatest Common Factor of 14599 and 14612?

Greatest common factor (GCF) of 14599 and 14612 is 13.

GCF(14599,14612) = 13

We will now calculate the prime factors of 14599 and 14612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14599 and 14612.

How to find the GCF of 14599 and 14612?

We will first find the prime factorization of 14599 and 14612. After we will calculate the factors of 14599 and 14612 and find the biggest common factor number .

Step-1: Prime Factorization of 14599

Prime factors of 14599 are 13, 1123. Prime factorization of 14599 in exponential form is:

14599 = 13¹ × 1123¹

Step-2: Prime Factorization of 14612

Prime factors of 14612 are 2, 13, 281. Prime factorization of 14612 in exponential form is:

14612 = 2² × 13¹ × 281¹

Step-3: Factors of 14599

List of positive integer factors of 14599 that divides 14599 without a remainder.

1, 13, 1123

Step-4: Factors of 14612

List of positive integer factors of 14612 that divides 14599 without a remainder.

1, 2, 4, 13, 26, 52, 281, 562, 1124, 3653, 7306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14599 and 14612. The biggest common factor number is the GCF number.
So the greatest common factor 14599 and 14612 is 13.

Also check out the Least Common Multiple of 14599 and 14612