What is the Greatest Common Factor of 14601 and 14612?

Greatest common factor (GCF) of 14601 and 14612 is 1.

GCF(14601,14612) = 1

We will now calculate the prime factors of 14601 and 14612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14601 and 14612.

How to find the GCF of 14601 and 14612?

We will first find the prime factorization of 14601 and 14612. After we will calculate the factors of 14601 and 14612 and find the biggest common factor number .

Step-1: Prime Factorization of 14601

Prime factors of 14601 are 3, 31, 157. Prime factorization of 14601 in exponential form is:

14601 = 3¹ × 31¹ × 157¹

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 14601

List of positive integer factors of 14601 that divides 14601 without a remainder.

1, 3, 31, 93, 157, 471, 4867

Step-4: Factors of 14612

List of positive integer factors of 14612 that divides 14601 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 14601 and 14612. The biggest common factor number is the GCF number.
So the greatest common factor 14601 and 14612 is 1.

Also check out the Least Common Multiple of 14601 and 14612