Greatest Common Factor of 595 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 595, 602 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 595 and 602 is 7.

GCF(595,602) = 7

GCF of 595 and 602

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

GCF of:
and

Greatest Common Factor of 595 and 602

GCF of 595 and 602 is 7

Prime Factorization of 595


5 595
7 119
17 17
1

Prime factors of 595 are 5,7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

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 595 and 602 is 7

Greatest Common Factor of 595 and 602 by matching factors method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

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 595 and 602. The biggest common factor number is the GCF number.
So the greatest common factor 595 and 602 is 7.

Also check out the Least Common Multiple of 595 and 602

Properties of GCF 595 and 602

(i) The GCF of 595 and 602 is associative

GCF of 595 and 602 = GCF of 602 and 595

Related Greatest Common Factor of 595

Related Greatest Common Factor of 602

Frequently Asked Questions on GCF of 595 and 602

1. What is the GCF of 595 and 602?

Answer: GCF of 595 and 602 is 7.

2. What are the Factors of 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

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 595 and 602?

Answer:

Greatest Common Factor of 595 and 602 = 7

Step 1: Find the prime factorization of 595

595 = 5 x 7 x 17

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 = 7

Step 4: Therefore, the greatest common factor of 595 and 602 is 7