What is the Greatest Common Factor of 3150 and 3165?

Greatest common factor (GCF) of 3150 and 3165 is 15.

GCF(3150,3165) = 15

We will now calculate the prime factors of 3150 and 3165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3150 and 3165.

How to find the GCF of 3150 and 3165?

We will first find the prime factorization of 3150 and 3165. After we will calculate the factors of 3150 and 3165 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3165

Prime factors of 3165 are 3, 5, 211. Prime factorization of 3165 in exponential form is:

3165 = 3¹ × 5¹ × 211¹

Step-3: Factors of 3150

List of positive integer factors of 3150 that divides 3150 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

Step-4: Factors of 3165

List of positive integer factors of 3165 that divides 3150 without a remainder.

1, 3, 5, 15, 211, 633, 1055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3150 and 3165. The biggest common factor number is the GCF number.
So the greatest common factor 3150 and 3165 is 15.

Also check out the Least Common Multiple of 3150 and 3165