Greatest Common Factor of 600 and 604

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 600, 604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 600 and 604 is 4.

GCF(600,604) = 4

GCF of 600 and 604

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

GCF of:
and

Greatest Common Factor of 600 and 604

GCF of 600 and 604 is 4

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

Prime Factorization of 604


2 604
2 302
151 151
1

Prime factors of 604 are 2,151. Prime factorization of 604 in exponential form is:

604 = 22×1511

∴ So by taking common prime factors GCF of 600 and 604 is 4

Greatest Common Factor of 600 and 604 by matching factors method

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

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors and prime factorization of 600 and 604. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 604 is 4.

Also check out the Least Common Multiple of 600 and 604

Properties of GCF 600 and 604

(i) The GCF of 600 and 604 is associative

GCF of 600 and 604 = GCF of 604 and 600

Related Greatest Common Factor of 600

Related Greatest Common Factor of 604

Frequently Asked Questions on GCF of 600 and 604

1. What is the GCF of 600 and 604?

Answer: GCF of 600 and 604 is 4.

2. 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.

3. What are the Factors of 604?

Answer: Factors of 604 are 1, 2, 4, 151, 302, 604. There are 6 integers that are factors of 604. The greatest factor of 604 is 604.

4. How to Find the GCF of 600 and 604?

Answer:

Greatest Common Factor of 600 and 604 = 4

Step 1: Find the prime factorization of 600

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

Step 2: Find the prime factorization of 604

604 = 2 x 2 x 151

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 600 and 604 is 4