What is the Greatest Common Factor of 4617 and 4636?

Greatest common factor (GCF) of 4617 and 4636 is 19.

GCF(4617,4636) = 19

We will now calculate the prime factors of 4617 and 4636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4617 and 4636.

How to find the GCF of 4617 and 4636?

We will first find the prime factorization of 4617 and 4636. After we will calculate the factors of 4617 and 4636 and find the biggest common factor number .

Step-1: Prime Factorization of 4617

Prime factors of 4617 are 3, 19. Prime factorization of 4617 in exponential form is:

4617 = 3⁵ × 19¹

Step-2: Prime Factorization of 4636

Prime factors of 4636 are 2, 19, 61. Prime factorization of 4636 in exponential form is:

4636 = 2² × 19¹ × 61¹

Step-3: Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539

Step-4: Factors of 4636

List of positive integer factors of 4636 that divides 4617 without a remainder.

1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4617 and 4636. The biggest common factor number is the GCF number.
So the greatest common factor 4617 and 4636 is 19.

Also check out the Least Common Multiple of 4617 and 4636