What is the Greatest Common Factor of 3123 and 3135?

Greatest common factor (GCF) of 3123 and 3135 is 3.

GCF(3123,3135) = 3

We will now calculate the prime factors of 3123 and 3135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3123 and 3135.

How to find the GCF of 3123 and 3135?

We will first find the prime factorization of 3123 and 3135. After we will calculate the factors of 3123 and 3135 and find the biggest common factor number .

Step-1: Prime Factorization of 3123

Prime factors of 3123 are 3, 347. Prime factorization of 3123 in exponential form is:

3123 = 3² × 347¹

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 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1, 3, 9, 347, 1041

Step-4: Factors of 3135

List of positive integer factors of 3135 that divides 3123 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 3123 and 3135. The biggest common factor number is the GCF number.
So the greatest common factor 3123 and 3135 is 3.

Also check out the Least Common Multiple of 3123 and 3135