What is the Greatest Common Factor of 13122 and 13137?

Greatest common factor (GCF) of 13122 and 13137 is 3.

GCF(13122,13137) = 3

We will now calculate the prime factors of 13122 and 13137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13122 and 13137.

How to find the GCF of 13122 and 13137?

We will first find the prime factorization of 13122 and 13137. After we will calculate the factors of 13122 and 13137 and find the biggest common factor number .

Step-1: Prime Factorization of 13122

Prime factors of 13122 are 2, 3. Prime factorization of 13122 in exponential form is:

13122 = 2¹ × 3⁸

Step-2: Prime Factorization of 13137

Prime factors of 13137 are 3, 29, 151. Prime factorization of 13137 in exponential form is:

13137 = 3¹ × 29¹ × 151¹

Step-3: Factors of 13122

List of positive integer factors of 13122 that divides 13122 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374, 6561

Step-4: Factors of 13137

List of positive integer factors of 13137 that divides 13122 without a remainder.

1, 3, 29, 87, 151, 453, 4379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13122 and 13137. The biggest common factor number is the GCF number.
So the greatest common factor 13122 and 13137 is 3.

Also check out the Least Common Multiple of 13122 and 13137