Greatest Common Factor of 7270 and 7275

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 7270, 7275 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7270 and 7275 is 5.

GCF(7270,7275) = 5

GCF of 7270 and 7275

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

GCF of:
and

Greatest Common Factor of 7270 and 7275

GCF of 7270 and 7275 is 5

Prime Factorization of 7270


2 7270
5 3635
727 727
1

Prime factors of 7270 are 2,5,727. Prime factorization of 7270 in exponential form is:

7270 = 21×51×7271

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

∴ So by taking common prime factors GCF of 7270 and 7275 is 5

Greatest Common Factor of 7270 and 7275 by matching factors method

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

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

Greatest Common Factor

We found the factors and prime factorization of 7270 and 7275. The biggest common factor number is the GCF number.
So the greatest common factor 7270 and 7275 is 5.

Also check out the Least Common Multiple of 7270 and 7275

Properties of GCF 7270 and 7275

(i) The GCF of 7270 and 7275 is associative

GCF of 7270 and 7275 = GCF of 7275 and 7270

Related Greatest Common Factor of 7270

Related Greatest Common Factor of 7275

Frequently Asked Questions on GCF of 7270 and 7275

1. What is the GCF of 7270 and 7275?

Answer: GCF of 7270 and 7275 is 5.

2. What are the Factors of 7270?

Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.

3. 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.

4. How to Find the GCF of 7270 and 7275?

Answer:

Greatest Common Factor of 7270 and 7275 = 5

Step 1: Find the prime factorization of 7270

7270 = 2 x 5 x 727

Step 2: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

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 7270 and 7275 is 5