Greatest Common Factor of 600 and 608

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, 608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 600 and 608 is 8.

GCF(600,608) = 8

GCF of 600 and 608

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

GCF of:
and

Greatest Common Factor of 600 and 608

GCF of 600 and 608 is 8

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 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

∴ So by taking common prime factors GCF of 600 and 608 is 8

Greatest Common Factor of 600 and 608 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 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors and prime factorization of 600 and 608. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 608 is 8.

Also check out the Least Common Multiple of 600 and 608

Properties of GCF 600 and 608

(i) The GCF of 600 and 608 is associative

GCF of 600 and 608 = GCF of 608 and 600

Related Greatest Common Factor of 600

Related Greatest Common Factor of 608

Frequently Asked Questions on GCF of 600 and 608

1. What is the GCF of 600 and 608?

Answer: GCF of 600 and 608 is 8.

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 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the GCF of 600 and 608?

Answer:

Greatest Common Factor of 600 and 608 = 8

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 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 600 and 608 is 8