Greatest Common Factor of 595 and 600

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, 600 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 595 and 600 is 5.

GCF(595,600) = 5

GCF of 595 and 600

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

GCF of:
and

Greatest Common Factor of 595 and 600

GCF of 595 and 600 is 5

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 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2,3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

∴ So by taking common prime factors GCF of 595 and 600 is 5

Greatest Common Factor of 595 and 600 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 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors and prime factorization of 595 and 600. The biggest common factor number is the GCF number.
So the greatest common factor 595 and 600 is 5.

Also check out the Least Common Multiple of 595 and 600

Properties of GCF 595 and 600

(i) The GCF of 595 and 600 is associative

GCF of 595 and 600 = GCF of 600 and 595

Related Greatest Common Factor of 595

Related Greatest Common Factor of 600

Frequently Asked Questions on GCF of 595 and 600

1. What is the GCF of 595 and 600?

Answer: GCF of 595 and 600 is 5.

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 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

4. How to Find the GCF of 595 and 600?

Answer:

Greatest Common Factor of 595 and 600 = 5

Step 1: Find the prime factorization of 595

595 = 5 x 7 x 17

Step 2: Find the prime factorization of 600

600 = 2 x 2 x 2 x 3 x 5 x 5

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

GCF = 5

Step 4: Therefore, the greatest common factor of 595 and 600 is 5