Greatest Common Factor of 7275 and 7281

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 7275, 7281 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7275 and 7281 is 3.

GCF(7275,7281) = 3

GCF of 7275 and 7281

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

GCF of:
and

Greatest Common Factor of 7275 and 7281

GCF of 7275 and 7281 is 3

Prime Factorization of 7275


3 7275
5 2425
5 485
97 97
1

Prime factors of 7275 are 3,5,97. Prime factorization of 7275 in exponential form is:

7275 = 31×52×971

Prime Factorization of 7281


3 7281
3 2427
809 809
1

Prime factors of 7281 are 3,809. Prime factorization of 7281 in exponential form is:

7281 = 32×8091

∴ So by taking common prime factors GCF of 7275 and 7281 is 3

Greatest Common Factor of 7275 and 7281 by matching factors method

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1,3,9,809,2427,7281

Greatest Common Factor

We found the factors and prime factorization of 7275 and 7281. The biggest common factor number is the GCF number.
So the greatest common factor 7275 and 7281 is 3.

Also check out the Least Common Multiple of 7275 and 7281

Properties of GCF 7275 and 7281

(i) The GCF of 7275 and 7281 is associative

GCF of 7275 and 7281 = GCF of 7281 and 7275

Related Greatest Common Factor of 7275

Related Greatest Common Factor of 7281

Frequently Asked Questions on GCF of 7275 and 7281

1. What is the GCF of 7275 and 7281?

Answer: GCF of 7275 and 7281 is 3.

2. What are the Factors of 7275?

Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.

3. What are the Factors of 7281?

Answer: Factors of 7281 are 1, 3, 9, 809, 2427, 7281. There are 6 integers that are factors of 7281. The greatest factor of 7281 is 7281.

4. How to Find the GCF of 7275 and 7281?

Answer:

Greatest Common Factor of 7275 and 7281 = 3

Step 1: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

Step 2: Find the prime factorization of 7281

7281 = 3 x 3 x 809

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7275 and 7281 is 3