What is the Greatest Common Factor of 4628 and 4632?

Greatest common factor (GCF) of 4628 and 4632 is 4.

GCF(4628,4632) = 4

We will now calculate the prime factors of 4628 and 4632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4628 and 4632.

How to find the GCF of 4628 and 4632?

We will first find the prime factorization of 4628 and 4632. After we will calculate the factors of 4628 and 4632 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 4632

Prime factors of 4632 are 2, 3, 193. Prime factorization of 4632 in exponential form is:

4632 = 2³ × 3¹ × 193¹

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 4632

List of positive integer factors of 4632 that divides 4628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4628 and 4632. The biggest common factor number is the GCF number.
So the greatest common factor 4628 and 4632 is 4.

Also check out the Least Common Multiple of 4628 and 4632