What is the Greatest Common Factor of 3170 and 3190?

Greatest common factor (GCF) of 3170 and 3190 is 10.

GCF(3170,3190) = 10

We will now calculate the prime factors of 3170 and 3190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3170 and 3190.

How to find the GCF of 3170 and 3190?

We will first find the prime factorization of 3170 and 3190. After we will calculate the factors of 3170 and 3190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3190

Prime factors of 3190 are 2, 5, 11, 29. Prime factorization of 3190 in exponential form is:

3190 = 2¹ × 5¹ × 11¹ × 29¹

Step-3: Factors of 3170

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

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

Step-4: Factors of 3190

List of positive integer factors of 3190 that divides 3170 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3170 and 3190. The biggest common factor number is the GCF number.
So the greatest common factor 3170 and 3190 is 10.

Also check out the Least Common Multiple of 3170 and 3190