What is the Greatest Common Factor of 3129 and 3147?

Greatest common factor (GCF) of 3129 and 3147 is 3.

GCF(3129,3147) = 3

We will now calculate the prime factors of 3129 and 3147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3129 and 3147.

How to find the GCF of 3129 and 3147?

We will first find the prime factorization of 3129 and 3147. After we will calculate the factors of 3129 and 3147 and find the biggest common factor number .

Step-1: Prime Factorization of 3129

Prime factors of 3129 are 3, 7, 149. Prime factorization of 3129 in exponential form is:

3129 = 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 3147

Prime factors of 3147 are 3, 1049. Prime factorization of 3147 in exponential form is:

3147 = 3¹ × 1049¹

Step-3: Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1, 3, 7, 21, 149, 447, 1043

Step-4: Factors of 3147

List of positive integer factors of 3147 that divides 3129 without a remainder.

1, 3, 1049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3129 and 3147. The biggest common factor number is the GCF number.
So the greatest common factor 3129 and 3147 is 3.

Also check out the Least Common Multiple of 3129 and 3147