Greatest Common Factor of 596 and 598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 596, 598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 596 and 598 is 2.

GCF(596,598) = 2

GCF of 596 and 598

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 596 and 598

GCF of 596 and 598 is 2

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

Prime Factorization of 598


2 598
13 299
23 23
1

Prime factors of 598 are 2,13,23. Prime factorization of 598 in exponential form is:

598 = 21×131×231

∴ So by taking common prime factors GCF of 596 and 598 is 2

Greatest Common Factor of 596 and 598 by matching factors method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors and prime factorization of 596 and 598. The biggest common factor number is the GCF number.
So the greatest common factor 596 and 598 is 2.

Also check out the Least Common Multiple of 596 and 598

Properties of GCF 596 and 598

(i) The GCF of 596 and 598 is associative

GCF of 596 and 598 = GCF of 598 and 596

Related Greatest Common Factor of 596

Related Greatest Common Factor of 598

Frequently Asked Questions on GCF of 596 and 598

1. What is the GCF of 596 and 598?

Answer: GCF of 596 and 598 is 2.

2. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

3. What are the Factors of 598?

Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.

4. How to Find the GCF of 596 and 598?

Answer:

Greatest Common Factor of 596 and 598 = 2

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

Step 2: Find the prime factorization of 598

598 = 2 x 13 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 596 and 598 is 2