What is the Greatest Common Factor of 4628 and 4637?

Greatest common factor (GCF) of 4628 and 4637 is 1.

GCF(4628,4637) = 1

We will now calculate the prime factors of 4628 and 4637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4628 and 4637.

How to find the GCF of 4628 and 4637?

We will first find the prime factorization of 4628 and 4637. After we will calculate the factors of 4628 and 4637 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 4637

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 4637¹

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 4637

List of positive integer factors of 4637 that divides 4628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4628 and 4637. The biggest common factor number is the GCF number.
So the greatest common factor 4628 and 4637 is 1.

Also check out the Least Common Multiple of 4628 and 4637