Greatest Common Factor of 597 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 597, 600 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 597 and 600 is 3.

GCF(597,600) = 3

GCF of 597 and 600

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

GCF of:
and

Greatest Common Factor of 597 and 600

GCF of 597 and 600 is 3

Prime Factorization of 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

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 597 and 600 is 3

Greatest Common Factor of 597 and 600 by matching factors method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

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 597 and 600. The biggest common factor number is the GCF number.
So the greatest common factor 597 and 600 is 3.

Also check out the Least Common Multiple of 597 and 600

Properties of GCF 597 and 600

(i) The GCF of 597 and 600 is associative

GCF of 597 and 600 = GCF of 600 and 597

Related Greatest Common Factor of 597

Related Greatest Common Factor of 600

Frequently Asked Questions on GCF of 597 and 600

1. What is the GCF of 597 and 600?

Answer: GCF of 597 and 600 is 3.

2. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

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 597 and 600?

Answer:

Greatest Common Factor of 597 and 600 = 3

Step 1: Find the prime factorization of 597

597 = 3 x 199

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 = 3

Step 4: Therefore, the greatest common factor of 597 and 600 is 3