Greatest Common Factor of 598 and 605

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

Greatest common factor (GCF) of 598 and 605 is 1.

GCF(598,605) = 1

GCF of 598 and 605

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

GCF of:
and

Greatest Common Factor of 598 and 605

GCF of 598 and 605 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 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

∴ So by taking common prime factors GCF of 598 and 605 is 1

Greatest Common Factor of 598 and 605 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors and prime factorization of 598 and 605. The biggest common factor number is the GCF number.
So the greatest common factor 598 and 605 is 1.

Also check out the Least Common Multiple of 598 and 605

Properties of GCF 598 and 605

(i) The GCF of 598 and 605 is associative

GCF of 598 and 605 = GCF of 605 and 598

Related Greatest Common Factor of 598

Related Greatest Common Factor of 605

Frequently Asked Questions on GCF of 598 and 605

1. What is the GCF of 598 and 605?

Answer: GCF of 598 and 605 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 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

4. How to Find the GCF of 598 and 605?

Answer:

Greatest Common Factor of 598 and 605 = 1

Step 1: Find the prime factorization of 598

598 = 2 x 13 x 23

Step 2: Find the prime factorization of 605

605 = 5 x 11 x 11

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 605 is 1