What is the Greatest Common Factor of 3140 and 3160?

Greatest common factor (GCF) of 3140 and 3160 is 20.

GCF(3140,3160) = 20

We will now calculate the prime factors of 3140 and 3160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3140 and 3160.

How to find the GCF of 3140 and 3160?

We will first find the prime factorization of 3140 and 3160. After we will calculate the factors of 3140 and 3160 and find the biggest common factor number .

Step-1: Prime Factorization of 3140

Prime factors of 3140 are 2, 5, 157. Prime factorization of 3140 in exponential form is:

3140 = 2² × 5¹ × 157¹

Step-2: 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-3: Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570

Step-4: Factors of 3160

List of positive integer factors of 3160 that divides 3140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3140 and 3160. The biggest common factor number is the GCF number.
So the greatest common factor 3140 and 3160 is 20.

Also check out the Least Common Multiple of 3140 and 3160