Greatest Common Factor of 598 and 602

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, 602 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 598 and 602 is 2.

GCF(598,602) = 2

GCF of 598 and 602

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

GCF of:
and

Greatest Common Factor of 598 and 602

GCF of 598 and 602 is 2

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 602


2 602
7 301
43 43
1

Prime factors of 602 are 2,7,43. Prime factorization of 602 in exponential form is:

602 = 21×71×431

∴ So by taking common prime factors GCF of 598 and 602 is 2

Greatest Common Factor of 598 and 602 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 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors and prime factorization of 598 and 602. The biggest common factor number is the GCF number.
So the greatest common factor 598 and 602 is 2.

Also check out the Least Common Multiple of 598 and 602

Properties of GCF 598 and 602

(i) The GCF of 598 and 602 is associative

GCF of 598 and 602 = GCF of 602 and 598

Related Greatest Common Factor of 598

Related Greatest Common Factor of 602

Frequently Asked Questions on GCF of 598 and 602

1. What is the GCF of 598 and 602?

Answer: GCF of 598 and 602 is 2.

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 602?

Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.

4. How to Find the GCF of 598 and 602?

Answer:

Greatest Common Factor of 598 and 602 = 2

Step 1: Find the prime factorization of 598

598 = 2 x 13 x 23

Step 2: Find the prime factorization of 602

602 = 2 x 7 x 43

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 598 and 602 is 2