Greatest Common Factor of 9295 and 9300

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 9295, 9300 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9295 and 9300 is 5.

GCF(9295,9300) = 5

GCF of 9295 and 9300

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

GCF of:
and

Greatest Common Factor of 9295 and 9300

GCF of 9295 and 9300 is 5

Prime Factorization of 9295


5 9295
11 1859
13 169
13 13
1

Prime factors of 9295 are 5,11,13. Prime factorization of 9295 in exponential form is:

9295 = 51×111×132

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

∴ So by taking common prime factors GCF of 9295 and 9300 is 5

Greatest Common Factor of 9295 and 9300 by matching factors method

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1,5,11,13,55,65,143,169,715,845,1859,9295

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

Greatest Common Factor

We found the factors and prime factorization of 9295 and 9300. The biggest common factor number is the GCF number.
So the greatest common factor 9295 and 9300 is 5.

Also check out the Least Common Multiple of 9295 and 9300

Properties of GCF 9295 and 9300

(i) The GCF of 9295 and 9300 is associative

GCF of 9295 and 9300 = GCF of 9300 and 9295

Related Greatest Common Factor of 9295

Related Greatest Common Factor of 9300

Frequently Asked Questions on GCF of 9295 and 9300

1. What is the GCF of 9295 and 9300?

Answer: GCF of 9295 and 9300 is 5.

2. What are the Factors of 9295?

Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.

3. 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.

4. How to Find the GCF of 9295 and 9300?

Answer:

Greatest Common Factor of 9295 and 9300 = 5

Step 1: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

Step 2: Find the prime factorization of 9300

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9295 and 9300 is 5