What is the Greatest Common Factor of 3114 and 3123?

Greatest common factor (GCF) of 3114 and 3123 is 9.

GCF(3114,3123) = 9

We will now calculate the prime factors of 3114 and 3123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3114 and 3123.

How to find the GCF of 3114 and 3123?

We will first find the prime factorization of 3114 and 3123. After we will calculate the factors of 3114 and 3123 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 3123

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

3123 = 3² × 347¹

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 3123

List of positive integer factors of 3123 that divides 3114 without a remainder.

1, 3, 9, 347, 1041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3114 and 3123. The biggest common factor number is the GCF number.
So the greatest common factor 3114 and 3123 is 9.

Also check out the Least Common Multiple of 3114 and 3123