Greatest Common Factor of 300 and 304

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

Greatest common factor (GCF) of 300 and 304 is 4.

GCF(300,304) = 4

GCF of 300 and 304

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

GCF of:
and

Greatest Common Factor of 300 and 304

GCF of 300 and 304 is 4

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 304


2 304
2 152
2 76
2 38
19 19
1

Prime factors of 304 are 2,19. Prime factorization of 304 in exponential form is:

304 = 24×191

∴ So by taking common prime factors GCF of 300 and 304 is 4

Greatest Common Factor of 300 and 304 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 304

List of positive integer factors of 304 that divides 304 without a remainder.

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

Greatest Common Factor

We found the factors and prime factorization of 300 and 304. The biggest common factor number is the GCF number.
So the greatest common factor 300 and 304 is 4.

Also check out the Least Common Multiple of 300 and 304

Properties of GCF 300 and 304

(i) The GCF of 300 and 304 is associative

GCF of 300 and 304 = GCF of 304 and 300

Related Greatest Common Factor of 300

Related Greatest Common Factor of 304

Frequently Asked Questions on GCF of 300 and 304

1. What is the GCF of 300 and 304?

Answer: GCF of 300 and 304 is 4.

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 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

4. How to Find the GCF of 300 and 304?

Answer:

Greatest Common Factor of 300 and 304 = 4

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 304

304 = 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 = 4

Step 4: Therefore, the greatest common factor of 300 and 304 is 4