Greatest Common Factor of 7290 and 7294

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 7290, 7294 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7290 and 7294 is 2.

GCF(7290,7294) = 2

GCF of 7290 and 7294

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

GCF of:
and

Greatest Common Factor of 7290 and 7294

GCF of 7290 and 7294 is 2

Prime Factorization of 7290


2 7290
3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 7290 are 2,3,5. Prime factorization of 7290 in exponential form is:

7290 = 21×36×51

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

∴ So by taking common prime factors GCF of 7290 and 7294 is 2

Greatest Common Factor of 7290 and 7294 by matching factors method

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Factors of 7294

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

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

Greatest Common Factor

We found the factors and prime factorization of 7290 and 7294. The biggest common factor number is the GCF number.
So the greatest common factor 7290 and 7294 is 2.

Also check out the Least Common Multiple of 7290 and 7294

Properties of GCF 7290 and 7294

(i) The GCF of 7290 and 7294 is associative

GCF of 7290 and 7294 = GCF of 7294 and 7290

Related Greatest Common Factor of 7290

Related Greatest Common Factor of 7294

Frequently Asked Questions on GCF of 7290 and 7294

1. What is the GCF of 7290 and 7294?

Answer: GCF of 7290 and 7294 is 2.

2. What are the Factors of 7290?

Answer: Factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290. There are 28 integers that are factors of 7290. The greatest factor of 7290 is 7290.

3. 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.

4. How to Find the GCF of 7290 and 7294?

Answer:

Greatest Common Factor of 7290 and 7294 = 2

Step 1: Find the prime factorization of 7290

7290 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 7294

7294 = 2 x 7 x 521

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 7290 and 7294 is 2