What is the Greatest Common Factor of 3058 and 3076?

Greatest common factor (GCF) of 3058 and 3076 is 2.

GCF(3058,3076) = 2

We will now calculate the prime factors of 3058 and 3076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3058 and 3076.

How to find the GCF of 3058 and 3076?

We will first find the prime factorization of 3058 and 3076. After we will calculate the factors of 3058 and 3076 and find the biggest common factor number .

Step-1: Prime Factorization of 3058

Prime factors of 3058 are 2, 11, 139. Prime factorization of 3058 in exponential form is:

3058 = 2¹ × 11¹ × 139¹

Step-2: Prime Factorization of 3076

Prime factors of 3076 are 2, 769. Prime factorization of 3076 in exponential form is:

3076 = 2² × 769¹

Step-3: Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1, 2, 11, 22, 139, 278, 1529

Step-4: Factors of 3076

List of positive integer factors of 3076 that divides 3058 without a remainder.

1, 2, 4, 769, 1538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3058 and 3076. The biggest common factor number is the GCF number.
So the greatest common factor 3058 and 3076 is 2.

Also check out the Least Common Multiple of 3058 and 3076