What is the Greatest Common Factor of 4658 and 4676?

Greatest common factor (GCF) of 4658 and 4676 is 2.

GCF(4658,4676) = 2

We will now calculate the prime factors of 4658 and 4676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4658 and 4676.

How to find the GCF of 4658 and 4676?

We will first find the prime factorization of 4658 and 4676. After we will calculate the factors of 4658 and 4676 and find the biggest common factor number .

Step-1: Prime Factorization of 4658

Prime factors of 4658 are 2, 17, 137. Prime factorization of 4658 in exponential form is:

4658 = 2¹ × 17¹ × 137¹

Step-2: Prime Factorization of 4676

Prime factors of 4676 are 2, 7, 167. Prime factorization of 4676 in exponential form is:

4676 = 2² × 7¹ × 167¹

Step-3: Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1, 2, 17, 34, 137, 274, 2329

Step-4: Factors of 4676

List of positive integer factors of 4676 that divides 4658 without a remainder.

1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4658 and 4676. The biggest common factor number is the GCF number.
So the greatest common factor 4658 and 4676 is 2.

Also check out the Least Common Multiple of 4658 and 4676