Greatest Common Factor of 9300 and 9304

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 9300, 9304 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9300 and 9304 is 4.

GCF(9300,9304) = 4

GCF of 9300 and 9304

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

GCF of:
and

Greatest Common Factor of 9300 and 9304

GCF of 9300 and 9304 is 4

Prime Factorization of 9300


2 9300
2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 9300 are 2,3,5,31. Prime factorization of 9300 in exponential form is:

9300 = 22×31×52×311

Prime Factorization of 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

∴ So by taking common prime factors GCF of 9300 and 9304 is 4

Greatest Common Factor of 9300 and 9304 by matching factors method

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Greatest Common Factor

We found the factors and prime factorization of 9300 and 9304. The biggest common factor number is the GCF number.
So the greatest common factor 9300 and 9304 is 4.

Also check out the Least Common Multiple of 9300 and 9304

Properties of GCF 9300 and 9304

(i) The GCF of 9300 and 9304 is associative

GCF of 9300 and 9304 = GCF of 9304 and 9300

Related Greatest Common Factor of 9300

Related Greatest Common Factor of 9304

Frequently Asked Questions on GCF of 9300 and 9304

1. What is the GCF of 9300 and 9304?

Answer: GCF of 9300 and 9304 is 4.

2. What are the Factors of 9300?

Answer: Factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300. There are 36 integers that are factors of 9300. The greatest factor of 9300 is 9300.

3. What are the Factors of 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

4. How to Find the GCF of 9300 and 9304?

Answer:

Greatest Common Factor of 9300 and 9304 = 4

Step 1: Find the prime factorization of 9300

9300 = 2 x 2 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

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 9300 and 9304 is 4