Greatest Common Factor of 7294 and 7298

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 7294, 7298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7294 and 7298 is 2.

GCF(7294,7298) = 2

GCF of 7294 and 7298

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

GCF of:
and

Greatest Common Factor of 7294 and 7298

GCF of 7294 and 7298 is 2

Prime Factorization of 7294


2 7294
7 3647
521 521
1

Prime factors of 7294 are 2,7,521. Prime factorization of 7294 in exponential form is:

7294 = 21×71×5211

Prime Factorization of 7298


2 7298
41 3649
89 89
1

Prime factors of 7298 are 2,41,89. Prime factorization of 7298 in exponential form is:

7298 = 21×411×891

∴ So by taking common prime factors GCF of 7294 and 7298 is 2

Greatest Common Factor of 7294 and 7298 by matching factors method

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors and prime factorization of 7294 and 7298. The biggest common factor number is the GCF number.
So the greatest common factor 7294 and 7298 is 2.

Also check out the Least Common Multiple of 7294 and 7298

Properties of GCF 7294 and 7298

(i) The GCF of 7294 and 7298 is associative

GCF of 7294 and 7298 = GCF of 7298 and 7294

Related Greatest Common Factor of 7294

Related Greatest Common Factor of 7298

Frequently Asked Questions on GCF of 7294 and 7298

1. What is the GCF of 7294 and 7298?

Answer: GCF of 7294 and 7298 is 2.

2. What are the Factors of 7294?

Answer: Factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294. There are 8 integers that are factors of 7294. The greatest factor of 7294 is 7294.

3. What are the Factors of 7298?

Answer: Factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298. There are 8 integers that are factors of 7298. The greatest factor of 7298 is 7298.

4. How to Find the GCF of 7294 and 7298?

Answer:

Greatest Common Factor of 7294 and 7298 = 2

Step 1: Find the prime factorization of 7294

7294 = 2 x 7 x 521

Step 2: Find the prime factorization of 7298

7298 = 2 x 41 x 89

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 7294 and 7298 is 2