What is the Greatest Common Factor of 3138 and 3150?

Greatest common factor (GCF) of 3138 and 3150 is 6.

GCF(3138,3150) = 6

We will now calculate the prime factors of 3138 and 3150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3138 and 3150.

How to find the GCF of 3138 and 3150?

We will first find the prime factorization of 3138 and 3150. After we will calculate the factors of 3138 and 3150 and find the biggest common factor number .

Step-1: Prime Factorization of 3138

Prime factors of 3138 are 2, 3, 523. Prime factorization of 3138 in exponential form is:

3138 = 2¹ × 3¹ × 523¹

Step-2: Prime Factorization of 3150

Prime factors of 3150 are 2, 3, 5, 7. Prime factorization of 3150 in exponential form is:

3150 = 2¹ × 3² × 5² × 7¹

Step-3: Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1, 2, 3, 6, 523, 1046, 1569

Step-4: Factors of 3150

List of positive integer factors of 3150 that divides 3138 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3138 and 3150. The biggest common factor number is the GCF number.
So the greatest common factor 3138 and 3150 is 6.

Also check out the Least Common Multiple of 3138 and 3150