Greatest Common Factor of 600 and 603

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, 603 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 600 and 603 is 3.

GCF(600,603) = 3

GCF of 600 and 603

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

GCF of:
and

Greatest Common Factor of 600 and 603

GCF of 600 and 603 is 3

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 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

∴ So by taking common prime factors GCF of 600 and 603 is 3

Greatest Common Factor of 600 and 603 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 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors and prime factorization of 600 and 603. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 603 is 3.

Also check out the Least Common Multiple of 600 and 603

Properties of GCF 600 and 603

(i) The GCF of 600 and 603 is associative

GCF of 600 and 603 = GCF of 603 and 600

Related Greatest Common Factor of 600

Related Greatest Common Factor of 603

Frequently Asked Questions on GCF of 600 and 603

1. What is the GCF of 600 and 603?

Answer: GCF of 600 and 603 is 3.

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 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

4. How to Find the GCF of 600 and 603?

Answer:

Greatest Common Factor of 600 and 603 = 3

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 603

603 = 3 x 3 x 67

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 600 and 603 is 3