What is the Greatest Common Factor of 3141 and 3159?

Greatest common factor (GCF) of 3141 and 3159 is 9.

GCF(3141,3159) = 9

We will now calculate the prime factors of 3141 and 3159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3141 and 3159.

How to find the GCF of 3141 and 3159?

We will first find the prime factorization of 3141 and 3159. After we will calculate the factors of 3141 and 3159 and find the biggest common factor number .

Step-1: Prime Factorization of 3141

Prime factors of 3141 are 3, 349. Prime factorization of 3141 in exponential form is:

3141 = 3² × 349¹

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 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1, 3, 9, 349, 1047

Step-4: Factors of 3159

List of positive integer factors of 3159 that divides 3141 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 3141 and 3159. The biggest common factor number is the GCF number.
So the greatest common factor 3141 and 3159 is 9.

Also check out the Least Common Multiple of 3141 and 3159