Greatest Common Factor of 598 and 599

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 598, 599 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 598 and 599 is 1.

GCF(598,599) = 1

GCF of 598 and 599

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

GCF of:
and

Greatest Common Factor of 598 and 599

GCF of 598 and 599 is 1

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

Prime Factorization of 599


599 599
1

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

∴ So by taking common prime factors GCF of 598 and 599 is 1

Greatest Common Factor of 598 and 599 by matching factors method

Factors of 598

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

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

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors and prime factorization of 598 and 599. The biggest common factor number is the GCF number.
So the greatest common factor 598 and 599 is 1.

Also check out the Least Common Multiple of 598 and 599

Properties of GCF 598 and 599

(i) The GCF of 598 and 599 is associative

GCF of 598 and 599 = GCF of 599 and 598

Related Greatest Common Factor of 598

Related Greatest Common Factor of 599

Frequently Asked Questions on GCF of 598 and 599

1. What is the GCF of 598 and 599?

Answer: GCF of 598 and 599 is 1.

2. 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.

3. What are the Factors of 599?

Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.

4. How to Find the GCF of 598 and 599?

Answer:

Greatest Common Factor of 598 and 599 = 1

Step 1: Find the prime factorization of 598

598 = 2 x 13 x 23

Step 2: Find the prime factorization of 599

599 = 599

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 598 and 599 is 1