What is the Greatest Common Factor of 4598 and 4614?

Greatest common factor (GCF) of 4598 and 4614 is 2.

GCF(4598,4614) = 2

We will now calculate the prime factors of 4598 and 4614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4598 and 4614.

How to find the GCF of 4598 and 4614?

We will first find the prime factorization of 4598 and 4614. After we will calculate the factors of 4598 and 4614 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 4614

Prime factors of 4614 are 2, 3, 769. Prime factorization of 4614 in exponential form is:

4614 = 2¹ × 3¹ × 769¹

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 4614

List of positive integer factors of 4614 that divides 4598 without a remainder.

1, 2, 3, 6, 769, 1538, 2307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4598 and 4614. The biggest common factor number is the GCF number.
So the greatest common factor 4598 and 4614 is 2.

Also check out the Least Common Multiple of 4598 and 4614