What is the Greatest Common Factor of 3114 and 3126?

Greatest common factor (GCF) of 3114 and 3126 is 6.

GCF(3114,3126) = 6

We will now calculate the prime factors of 3114 and 3126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3114 and 3126.

How to find the GCF of 3114 and 3126?

We will first find the prime factorization of 3114 and 3126. After we will calculate the factors of 3114 and 3126 and find the biggest common factor number .

Step-1: Prime Factorization of 3114

Prime factors of 3114 are 2, 3, 173. Prime factorization of 3114 in exponential form is:

3114 = 2¹ × 3² × 173¹

Step-2: Prime Factorization of 3126

Prime factors of 3126 are 2, 3, 521. Prime factorization of 3126 in exponential form is:

3126 = 2¹ × 3¹ × 521¹

Step-3: Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557

Step-4: Factors of 3126

List of positive integer factors of 3126 that divides 3114 without a remainder.

1, 2, 3, 6, 521, 1042, 1563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3114 and 3126. The biggest common factor number is the GCF number.
So the greatest common factor 3114 and 3126 is 6.

Also check out the Least Common Multiple of 3114 and 3126