What is the Greatest Common Factor of 3140 and 3158?

Greatest common factor (GCF) of 3140 and 3158 is 2.

GCF(3140,3158) = 2

We will now calculate the prime factors of 3140 and 3158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3140 and 3158.

How to find the GCF of 3140 and 3158?

We will first find the prime factorization of 3140 and 3158. After we will calculate the factors of 3140 and 3158 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 3158

Prime factors of 3158 are 2, 1579. Prime factorization of 3158 in exponential form is:

3158 = 2¹ × 1579¹

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 3158

List of positive integer factors of 3158 that divides 3140 without a remainder.

1, 2, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3140 and 3158. The biggest common factor number is the GCF number.
So the greatest common factor 3140 and 3158 is 2.

Also check out the Least Common Multiple of 3140 and 3158