What is the Greatest Common Factor of 4658 and 4672?

Greatest common factor (GCF) of 4658 and 4672 is 2.

GCF(4658,4672) = 2

We will now calculate the prime factors of 4658 and 4672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4658 and 4672.

How to find the GCF of 4658 and 4672?

We will first find the prime factorization of 4658 and 4672. After we will calculate the factors of 4658 and 4672 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 4672

Prime factors of 4672 are 2, 73. Prime factorization of 4672 in exponential form is:

4672 = 2⁶ × 73¹

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 4672

List of positive integer factors of 4672 that divides 4658 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4658 and 4672. The biggest common factor number is the GCF number.
So the greatest common factor 4658 and 4672 is 2.

Also check out the Least Common Multiple of 4658 and 4672