What is the Greatest Common Factor of 4640 and 4658?

Greatest common factor (GCF) of 4640 and 4658 is 2.

GCF(4640,4658) = 2

We will now calculate the prime factors of 4640 and 4658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4640 and 4658.

How to find the GCF of 4640 and 4658?

We will first find the prime factorization of 4640 and 4658. After we will calculate the factors of 4640 and 4658 and find the biggest common factor number .

Step-1: Prime Factorization of 4640

Prime factors of 4640 are 2, 5, 29. Prime factorization of 4640 in exponential form is:

4640 = 2⁵ × 5¹ × 29¹

Step-2: 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-3: Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320

Step-4: Factors of 4658

List of positive integer factors of 4658 that divides 4640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4640 and 4658. The biggest common factor number is the GCF number.
So the greatest common factor 4640 and 4658 is 2.

Also check out the Least Common Multiple of 4640 and 4658