What is the Greatest Common Factor of 4615 and 4628?

Greatest common factor (GCF) of 4615 and 4628 is 13.

GCF(4615,4628) = 13

We will now calculate the prime factors of 4615 and 4628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4615 and 4628.

How to find the GCF of 4615 and 4628?

We will first find the prime factorization of 4615 and 4628. After we will calculate the factors of 4615 and 4628 and find the biggest common factor number .

Step-1: Prime Factorization of 4615

Prime factors of 4615 are 5, 13, 71. Prime factorization of 4615 in exponential form is:

4615 = 5¹ × 13¹ × 71¹

Step-2: 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-3: Factors of 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1, 5, 13, 65, 71, 355, 923

Step-4: Factors of 4628

List of positive integer factors of 4628 that divides 4615 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4615 and 4628. The biggest common factor number is the GCF number.
So the greatest common factor 4615 and 4628 is 13.

Also check out the Least Common Multiple of 4615 and 4628