What is the Greatest Common Factor of 4598 and 4617?

Greatest common factor (GCF) of 4598 and 4617 is 19.

GCF(4598,4617) = 19

We will now calculate the prime factors of 4598 and 4617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4598 and 4617.

How to find the GCF of 4598 and 4617?

We will first find the prime factorization of 4598 and 4617. After we will calculate the factors of 4598 and 4617 and find the biggest common factor number .

Step-1: Prime Factorization of 4598

Prime factors of 4598 are 2, 11, 19. Prime factorization of 4598 in exponential form is:

4598 = 2¹ × 11² × 19¹

Step-2: Prime Factorization of 4617

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

4617 = 3⁵ × 19¹

Step-3: Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299

Step-4: Factors of 4617

List of positive integer factors of 4617 that divides 4598 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4598 and 4617. The biggest common factor number is the GCF number.
So the greatest common factor 4598 and 4617 is 19.

Also check out the Least Common Multiple of 4598 and 4617