What is the Greatest Common Factor of 3146 and 3159?

Greatest common factor (GCF) of 3146 and 3159 is 13.

GCF(3146,3159) = 13

We will now calculate the prime factors of 3146 and 3159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3146 and 3159.

How to find the GCF of 3146 and 3159?

We will first find the prime factorization of 3146 and 3159. After we will calculate the factors of 3146 and 3159 and find the biggest common factor number .

Step-1: Prime Factorization of 3146

Prime factors of 3146 are 2, 11, 13. Prime factorization of 3146 in exponential form is:

3146 = 2¹ × 11² × 13¹

Step-2: Prime Factorization of 3159

Prime factors of 3159 are 3, 13. Prime factorization of 3159 in exponential form is:

3159 = 3⁵ × 13¹

Step-3: Factors of 3146

List of positive integer factors of 3146 that divides 3146 without a remainder.

1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573

Step-4: Factors of 3159

List of positive integer factors of 3159 that divides 3146 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3146 and 3159. The biggest common factor number is the GCF number.
So the greatest common factor 3146 and 3159 is 13.

Also check out the Least Common Multiple of 3146 and 3159