Greatest Common Factor of 593 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 593, 598 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 593 and 598 is 1.

GCF(593,598) = 1

GCF of 593 and 598

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

GCF of:
and

Greatest Common Factor of 593 and 598

GCF of 593 and 598 is 1

Prime Factorization of 593


593 593
1

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 5931

Prime Factorization of 598


2 598
13 299
23 23
1

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

598 = 21×131×231

∴ So by taking common prime factors GCF of 593 and 598 is 1

Greatest Common Factor of 593 and 598 by matching factors method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

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 593 and 598. The biggest common factor number is the GCF number.
So the greatest common factor 593 and 598 is 1.

Also check out the Least Common Multiple of 593 and 598

Properties of GCF 593 and 598

(i) The GCF of 593 and 598 is associative

GCF of 593 and 598 = GCF of 598 and 593

Frequently Asked Questions on GCF of 593 and 598

1. What is the GCF of 593 and 598?

Answer: GCF of 593 and 598 is 1.

2. What are the Factors of 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

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 593 and 598?

Answer:

Greatest Common Factor of 593 and 598 = 1

Step 1: Find the prime factorization of 593

593 = 593

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 = = 1

Step 4: Therefore, the greatest common factor of 593 and 598 is 1