Greatest Common Factor of 9290 and 9295

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 9290, 9295 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9290 and 9295 is 5.

GCF(9290,9295) = 5

GCF of 9290 and 9295

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

GCF of:
and

Greatest Common Factor of 9290 and 9295

GCF of 9290 and 9295 is 5

Prime Factorization of 9290


2 9290
5 4645
929 929
1

Prime factors of 9290 are 2,5,929. Prime factorization of 9290 in exponential form is:

9290 = 21×51×9291

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

∴ So by taking common prime factors GCF of 9290 and 9295 is 5

Greatest Common Factor of 9290 and 9295 by matching factors method

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

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

Greatest Common Factor

We found the factors and prime factorization of 9290 and 9295. The biggest common factor number is the GCF number.
So the greatest common factor 9290 and 9295 is 5.

Also check out the Least Common Multiple of 9290 and 9295

Properties of GCF 9290 and 9295

(i) The GCF of 9290 and 9295 is associative

GCF of 9290 and 9295 = GCF of 9295 and 9290

Related Greatest Common Factor of 9290

Related Greatest Common Factor of 9295

Frequently Asked Questions on GCF of 9290 and 9295

1. What is the GCF of 9290 and 9295?

Answer: GCF of 9290 and 9295 is 5.

2. What are the Factors of 9290?

Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.

3. 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.

4. How to Find the GCF of 9290 and 9295?

Answer:

Greatest Common Factor of 9290 and 9295 = 5

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

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 9290 and 9295 is 5