Greatest Common Factor of 9290 and 9294

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, 9294 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9290 and 9294 is 2.

GCF(9290,9294) = 2

GCF of 9290 and 9294

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

GCF of:
and

Greatest Common Factor of 9290 and 9294

GCF of 9290 and 9294 is 2

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 9294


2 9294
3 4647
1549 1549
1

Prime factors of 9294 are 2,3,1549. Prime factorization of 9294 in exponential form is:

9294 = 21×31×15491

∴ So by taking common prime factors GCF of 9290 and 9294 is 2

Greatest Common Factor of 9290 and 9294 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 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1,2,3,6,1549,3098,4647,9294

Greatest Common Factor

We found the factors and prime factorization of 9290 and 9294. The biggest common factor number is the GCF number.
So the greatest common factor 9290 and 9294 is 2.

Also check out the Least Common Multiple of 9290 and 9294

Properties of GCF 9290 and 9294

(i) The GCF of 9290 and 9294 is associative

GCF of 9290 and 9294 = GCF of 9294 and 9290

Related Greatest Common Factor of 9290

Related Greatest Common Factor of 9294

Frequently Asked Questions on GCF of 9290 and 9294

1. What is the GCF of 9290 and 9294?

Answer: GCF of 9290 and 9294 is 2.

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 9294?

Answer: Factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294. There are 8 integers that are factors of 9294. The greatest factor of 9294 is 9294.

4. How to Find the GCF of 9290 and 9294?

Answer:

Greatest Common Factor of 9290 and 9294 = 2

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9294

9294 = 2 x 3 x 1549

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9290 and 9294 is 2