Greatest Common Factor of 7284 and 7290

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 7284, 7290 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7284 and 7290 is 6.

GCF(7284,7290) = 6

GCF of 7284 and 7290

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

GCF of:
and

Greatest Common Factor of 7284 and 7290

GCF of 7284 and 7290 is 6

Prime Factorization of 7284


2 7284
2 3642
3 1821
607 607
1

Prime factors of 7284 are 2,3,607. Prime factorization of 7284 in exponential form is:

7284 = 22×31×6071

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

∴ So by taking common prime factors GCF of 7284 and 7290 is 6

Greatest Common Factor of 7284 and 7290 by matching factors method

Factors of 7284

List of positive integer factors of 7284 that divides 7284 without a remainder.

1,2,3,4,6,12,607,1214,1821,2428,3642,7284

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

Greatest Common Factor

We found the factors and prime factorization of 7284 and 7290. The biggest common factor number is the GCF number.
So the greatest common factor 7284 and 7290 is 6.

Also check out the Least Common Multiple of 7284 and 7290

Properties of GCF 7284 and 7290

(i) The GCF of 7284 and 7290 is associative

GCF of 7284 and 7290 = GCF of 7290 and 7284

Related Greatest Common Factor of 7284

Related Greatest Common Factor of 7290

Frequently Asked Questions on GCF of 7284 and 7290

1. What is the GCF of 7284 and 7290?

Answer: GCF of 7284 and 7290 is 6.

2. What are the Factors of 7284?

Answer: Factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284. There are 12 integers that are factors of 7284. The greatest factor of 7284 is 7284.

3. 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.

4. How to Find the GCF of 7284 and 7290?

Answer:

Greatest Common Factor of 7284 and 7290 = 6

Step 1: Find the prime factorization of 7284

7284 = 2 x 2 x 3 x 607

Step 2: Find the prime factorization of 7290

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7284 and 7290 is 6