What is the Greatest Common Factor of 3150 and 3170?

Greatest common factor (GCF) of 3150 and 3170 is 10.

GCF(3150,3170) = 10

We will now calculate the prime factors of 3150 and 3170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3150 and 3170.

How to find the GCF of 3150 and 3170?

We will first find the prime factorization of 3150 and 3170. After we will calculate the factors of 3150 and 3170 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 3170

Prime factors of 3170 are 2, 5, 317. Prime factorization of 3170 in exponential form is:

3170 = 2¹ × 5¹ × 317¹

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 3170

List of positive integer factors of 3170 that divides 3150 without a remainder.

1, 2, 5, 10, 317, 634, 1585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3150 and 3170. The biggest common factor number is the GCF number.
So the greatest common factor 3150 and 3170 is 10.

Also check out the Least Common Multiple of 3150 and 3170