Greatest Common Factor of 9300 and 9307

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, 9307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9300 and 9307 is 1.

GCF(9300,9307) = 1

GCF of 9300 and 9307

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

GCF of:
and

Greatest Common Factor of 9300 and 9307

GCF of 9300 and 9307 is 1

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 9307


41 9307
227 227
1

Prime factors of 9307 are 41,227. Prime factorization of 9307 in exponential form is:

9307 = 411×2271

∴ So by taking common prime factors GCF of 9300 and 9307 is 1

Greatest Common Factor of 9300 and 9307 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 9307

List of positive integer factors of 9307 that divides 9307 without a remainder.

1,41,227,9307

Greatest Common Factor

We found the factors and prime factorization of 9300 and 9307. The biggest common factor number is the GCF number.
So the greatest common factor 9300 and 9307 is 1.

Also check out the Least Common Multiple of 9300 and 9307

Properties of GCF 9300 and 9307

(i) The GCF of 9300 and 9307 is associative

GCF of 9300 and 9307 = GCF of 9307 and 9300

Related Greatest Common Factor of 9300

Related Greatest Common Factor of 9307

Frequently Asked Questions on GCF of 9300 and 9307

1. What is the GCF of 9300 and 9307?

Answer: GCF of 9300 and 9307 is 1.

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 9307?

Answer: Factors of 9307 are 1, 41, 227, 9307. There are 4 integers that are factors of 9307. The greatest factor of 9307 is 9307.

4. How to Find the GCF of 9300 and 9307?

Answer:

Greatest Common Factor of 9300 and 9307 = 1

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 9307

9307 = 41 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9300 and 9307 is 1