What is the Greatest Common Factor of 3129 and 3143?

Greatest common factor (GCF) of 3129 and 3143 is 7.

GCF(3129,3143) = 7

We will now calculate the prime factors of 3129 and 3143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3129 and 3143.

How to find the GCF of 3129 and 3143?

We will first find the prime factorization of 3129 and 3143. After we will calculate the factors of 3129 and 3143 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 3143

Prime factors of 3143 are 7, 449. Prime factorization of 3143 in exponential form is:

3143 = 7¹ × 449¹

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 3143

List of positive integer factors of 3143 that divides 3129 without a remainder.

1, 7, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3129 and 3143. The biggest common factor number is the GCF number.
So the greatest common factor 3129 and 3143 is 7.

Also check out the Least Common Multiple of 3129 and 3143