Greatest Common Factor of 9300 and 9308

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, 9308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9300 and 9308 is 4.

GCF(9300,9308) = 4

GCF of 9300 and 9308

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

GCF of:
and

Greatest Common Factor of 9300 and 9308

GCF of 9300 and 9308 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 9308


2 9308
2 4654
13 2327
179 179
1

Prime factors of 9308 are 2,13,179. Prime factorization of 9308 in exponential form is:

9308 = 22×131×1791

∴ So by taking common prime factors GCF of 9300 and 9308 is 4

Greatest Common Factor of 9300 and 9308 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 9308

List of positive integer factors of 9308 that divides 9308 without a remainder.

1,2,4,13,26,52,179,358,716,2327,4654,9308

Greatest Common Factor

We found the factors and prime factorization of 9300 and 9308. The biggest common factor number is the GCF number.
So the greatest common factor 9300 and 9308 is 4.

Also check out the Least Common Multiple of 9300 and 9308

Properties of GCF 9300 and 9308

(i) The GCF of 9300 and 9308 is associative

GCF of 9300 and 9308 = GCF of 9308 and 9300

Related Greatest Common Factor of 9300

Related Greatest Common Factor of 9308

Frequently Asked Questions on GCF of 9300 and 9308

1. What is the GCF of 9300 and 9308?

Answer: GCF of 9300 and 9308 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 9308?

Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.

4. How to Find the GCF of 9300 and 9308?

Answer:

Greatest Common Factor of 9300 and 9308 = 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 9308

9308 = 2 x 2 x 13 x 179

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 9308 is 4