Greatest Common Factor of 300 and 303

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 300, 303 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 300 and 303 is 3.

GCF(300,303) = 3

GCF of 300 and 303

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

GCF of:
and

Greatest Common Factor of 300 and 303

GCF of 300 and 303 is 3

Prime Factorization of 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2,3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Prime Factorization of 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

∴ So by taking common prime factors GCF of 300 and 303 is 3

Greatest Common Factor of 300 and 303 by matching factors method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors and prime factorization of 300 and 303. The biggest common factor number is the GCF number.
So the greatest common factor 300 and 303 is 3.

Also check out the Least Common Multiple of 300 and 303

Properties of GCF 300 and 303

(i) The GCF of 300 and 303 is associative

GCF of 300 and 303 = GCF of 303 and 300

Related Greatest Common Factor of 300

Related Greatest Common Factor of 303

Frequently Asked Questions on GCF of 300 and 303

1. What is the GCF of 300 and 303?

Answer: GCF of 300 and 303 is 3.

2. What are the Factors of 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

3. What are the Factors of 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the GCF of 300 and 303?

Answer:

Greatest Common Factor of 300 and 303 = 3

Step 1: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 303

303 = 3 x 101

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 300 and 303 is 3