What is the Greatest Common Factor of 13122 and 13142?

Greatest common factor (GCF) of 13122 and 13142 is 2.

GCF(13122,13142) = 2

We will now calculate the prime factors of 13122 and 13142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13122 and 13142.

How to find the GCF of 13122 and 13142?

We will first find the prime factorization of 13122 and 13142. After we will calculate the factors of 13122 and 13142 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 13142

Prime factors of 13142 are 2, 6571. Prime factorization of 13142 in exponential form is:

13142 = 2¹ × 6571¹

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 13142

List of positive integer factors of 13142 that divides 13122 without a remainder.

1, 2, 6571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13122 and 13142. The biggest common factor number is the GCF number.
So the greatest common factor 13122 and 13142 is 2.

Also check out the Least Common Multiple of 13122 and 13142