Greatest Common Factor of 596 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 596, 600 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 596 and 600 is 4.

GCF(596,600) = 4

GCF of 596 and 600

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

GCF of:
and

Greatest Common Factor of 596 and 600

GCF of 596 and 600 is 4

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

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 596 and 600 is 4

Greatest Common Factor of 596 and 600 by matching factors method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

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 596 and 600. The biggest common factor number is the GCF number.
So the greatest common factor 596 and 600 is 4.

Also check out the Least Common Multiple of 596 and 600

Properties of GCF 596 and 600

(i) The GCF of 596 and 600 is associative

GCF of 596 and 600 = GCF of 600 and 596

Related Greatest Common Factor of 596

Related Greatest Common Factor of 600

Frequently Asked Questions on GCF of 596 and 600

1. What is the GCF of 596 and 600?

Answer: GCF of 596 and 600 is 4.

2. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

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 596 and 600?

Answer:

Greatest Common Factor of 596 and 600 = 4

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 596 and 600 is 4