Greatest Common Factor of 9294 and 9298

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 9294, 9298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9294 and 9298 is 2.

GCF(9294,9298) = 2

GCF of 9294 and 9298

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

GCF of:
and

Greatest Common Factor of 9294 and 9298

GCF of 9294 and 9298 is 2

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

Prime Factorization of 9298


2 9298
4649 4649
1

Prime factors of 9298 are 2,4649. Prime factorization of 9298 in exponential form is:

9298 = 21×46491

∴ So by taking common prime factors GCF of 9294 and 9298 is 2

Greatest Common Factor of 9294 and 9298 by matching factors method

Factors of 9294

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

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

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1,2,4649,9298

Greatest Common Factor

We found the factors and prime factorization of 9294 and 9298. The biggest common factor number is the GCF number.
So the greatest common factor 9294 and 9298 is 2.

Also check out the Least Common Multiple of 9294 and 9298

Properties of GCF 9294 and 9298

(i) The GCF of 9294 and 9298 is associative

GCF of 9294 and 9298 = GCF of 9298 and 9294

Related Greatest Common Factor of 9294

Related Greatest Common Factor of 9298

Frequently Asked Questions on GCF of 9294 and 9298

1. What is the GCF of 9294 and 9298?

Answer: GCF of 9294 and 9298 is 2.

2. 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.

3. What are the Factors of 9298?

Answer: Factors of 9298 are 1, 2, 4649, 9298. There are 4 integers that are factors of 9298. The greatest factor of 9298 is 9298.

4. How to Find the GCF of 9294 and 9298?

Answer:

Greatest Common Factor of 9294 and 9298 = 2

Step 1: Find the prime factorization of 9294

9294 = 2 x 3 x 1549

Step 2: Find the prime factorization of 9298

9298 = 2 x 4649

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 9294 and 9298 is 2