What is the Greatest Common Factor of 4628 and 4642?

Greatest common factor (GCF) of 4628 and 4642 is 2.

GCF(4628,4642) = 2

We will now calculate the prime factors of 4628 and 4642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4628 and 4642.

How to find the GCF of 4628 and 4642?

We will first find the prime factorization of 4628 and 4642. After we will calculate the factors of 4628 and 4642 and find the biggest common factor number .

Step-1: Prime Factorization of 4628

Prime factors of 4628 are 2, 13, 89. Prime factorization of 4628 in exponential form is:

4628 = 2² × 13¹ × 89¹

Step-2: Prime Factorization of 4642

Prime factors of 4642 are 2, 11, 211. Prime factorization of 4642 in exponential form is:

4642 = 2¹ × 11¹ × 211¹

Step-3: Factors of 4628

List of positive integer factors of 4628 that divides 4628 without a remainder.

1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314

Step-4: Factors of 4642

List of positive integer factors of 4642 that divides 4628 without a remainder.

1, 2, 11, 22, 211, 422, 2321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4628 and 4642. The biggest common factor number is the GCF number.
So the greatest common factor 4628 and 4642 is 2.

Also check out the Least Common Multiple of 4628 and 4642