What is the Greatest Common Factor of 3126 and 3135?

Greatest common factor (GCF) of 3126 and 3135 is 3.

GCF(3126,3135) = 3

We will now calculate the prime factors of 3126 and 3135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3126 and 3135.

How to find the GCF of 3126 and 3135?

We will first find the prime factorization of 3126 and 3135. After we will calculate the factors of 3126 and 3135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3135

Prime factors of 3135 are 3, 5, 11, 19. Prime factorization of 3135 in exponential form is:

3135 = 3¹ × 5¹ × 11¹ × 19¹

Step-3: Factors of 3126

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

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

Step-4: Factors of 3135

List of positive integer factors of 3135 that divides 3126 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3126 and 3135. The biggest common factor number is the GCF number.
So the greatest common factor 3126 and 3135 is 3.

Also check out the Least Common Multiple of 3126 and 3135