What is the Greatest Common Factor of 3160 and 3170?

Greatest common factor (GCF) of 3160 and 3170 is 10.

GCF(3160,3170) = 10

We will now calculate the prime factors of 3160 and 3170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3160 and 3170.

How to find the GCF of 3160 and 3170?

We will first find the prime factorization of 3160 and 3170. After we will calculate the factors of 3160 and 3170 and find the biggest common factor number .

Step-1: Prime Factorization of 3160

Prime factors of 3160 are 2, 5, 79. Prime factorization of 3160 in exponential form is:

3160 = 2³ × 5¹ × 79¹

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 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580

Step-4: Factors of 3170

List of positive integer factors of 3170 that divides 3160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3160 and 3170. The biggest common factor number is the GCF number.
So the greatest common factor 3160 and 3170 is 10.

Also check out the Least Common Multiple of 3160 and 3170