What is the Greatest Common Factor of 4628 and 4641?

Greatest common factor (GCF) of 4628 and 4641 is 13.

GCF(4628,4641) = 13

We will now calculate the prime factors of 4628 and 4641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4628 and 4641.

How to find the GCF of 4628 and 4641?

We will first find the prime factorization of 4628 and 4641. After we will calculate the factors of 4628 and 4641 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 4641

Prime factors of 4641 are 3, 7, 13, 17. Prime factorization of 4641 in exponential form is:

4641 = 3¹ × 7¹ × 13¹ × 17¹

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 4641

List of positive integer factors of 4641 that divides 4628 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4628 and 4641. The biggest common factor number is the GCF number.
So the greatest common factor 4628 and 4641 is 13.

Also check out the Least Common Multiple of 4628 and 4641