What is the Greatest Common Factor of 3130 and 3134?

Greatest common factor (GCF) of 3130 and 3134 is 2.

GCF(3130,3134) = 2

We will now calculate the prime factors of 3130 and 3134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3130 and 3134.

How to find the GCF of 3130 and 3134?

We will first find the prime factorization of 3130 and 3134. After we will calculate the factors of 3130 and 3134 and find the biggest common factor number .

Step-1: Prime Factorization of 3130

Prime factors of 3130 are 2, 5, 313. Prime factorization of 3130 in exponential form is:

3130 = 2¹ × 5¹ × 313¹

Step-2: Prime Factorization of 3134

Prime factors of 3134 are 2, 1567. Prime factorization of 3134 in exponential form is:

3134 = 2¹ × 1567¹

Step-3: Factors of 3130

List of positive integer factors of 3130 that divides 3130 without a remainder.

1, 2, 5, 10, 313, 626, 1565

Step-4: Factors of 3134

List of positive integer factors of 3134 that divides 3130 without a remainder.

1, 2, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3130 and 3134. The biggest common factor number is the GCF number.
So the greatest common factor 3130 and 3134 is 2.

Also check out the Least Common Multiple of 3130 and 3134