Greatest Common Factor of 7294 and 7302

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, 7302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7294 and 7302 is 2.

GCF(7294,7302) = 2

GCF of 7294 and 7302

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

GCF of:
and

Greatest Common Factor of 7294 and 7302

GCF of 7294 and 7302 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 7302


2 7302
3 3651
1217 1217
1

Prime factors of 7302 are 2,3,1217. Prime factorization of 7302 in exponential form is:

7302 = 21×31×12171

∴ So by taking common prime factors GCF of 7294 and 7302 is 2

Greatest Common Factor of 7294 and 7302 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 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1,2,3,6,1217,2434,3651,7302

Greatest Common Factor

We found the factors and prime factorization of 7294 and 7302. The biggest common factor number is the GCF number.
So the greatest common factor 7294 and 7302 is 2.

Also check out the Least Common Multiple of 7294 and 7302

Properties of GCF 7294 and 7302

(i) The GCF of 7294 and 7302 is associative

GCF of 7294 and 7302 = GCF of 7302 and 7294

Related Greatest Common Factor of 7294

Related Greatest Common Factor of 7302

Frequently Asked Questions on GCF of 7294 and 7302

1. What is the GCF of 7294 and 7302?

Answer: GCF of 7294 and 7302 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 7302?

Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.

4. How to Find the GCF of 7294 and 7302?

Answer:

Greatest Common Factor of 7294 and 7302 = 2

Step 1: Find the prime factorization of 7294

7294 = 2 x 7 x 521

Step 2: Find the prime factorization of 7302

7302 = 2 x 3 x 1217

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 7302 is 2