Greatest Common Factor of 7290 and 7295

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, 7295 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7290 and 7295 is 5.

GCF(7290,7295) = 5

GCF of 7290 and 7295

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

GCF of:
and

Greatest Common Factor of 7290 and 7295

GCF of 7290 and 7295 is 5

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 7295


5 7295
1459 1459
1

Prime factors of 7295 are 5,1459. Prime factorization of 7295 in exponential form is:

7295 = 51×14591

∴ So by taking common prime factors GCF of 7290 and 7295 is 5

Greatest Common Factor of 7290 and 7295 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 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Greatest Common Factor

We found the factors and prime factorization of 7290 and 7295. The biggest common factor number is the GCF number.
So the greatest common factor 7290 and 7295 is 5.

Also check out the Least Common Multiple of 7290 and 7295

Properties of GCF 7290 and 7295

(i) The GCF of 7290 and 7295 is associative

GCF of 7290 and 7295 = GCF of 7295 and 7290

Related Greatest Common Factor of 7290

Related Greatest Common Factor of 7295

Frequently Asked Questions on GCF of 7290 and 7295

1. What is the GCF of 7290 and 7295?

Answer: GCF of 7290 and 7295 is 5.

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 7295?

Answer: Factors of 7295 are 1, 5, 1459, 7295. There are 4 integers that are factors of 7295. The greatest factor of 7295 is 7295.

4. How to Find the GCF of 7290 and 7295?

Answer:

Greatest Common Factor of 7290 and 7295 = 5

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 7295

7295 = 5 x 1459

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7290 and 7295 is 5