Greatest Common Factor of 7255 and 7260

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 7255, 7260 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7255 and 7260 is 5.

GCF(7255,7260) = 5

GCF of 7255 and 7260

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

GCF of:
and

Greatest Common Factor of 7255 and 7260

GCF of 7255 and 7260 is 5

Prime Factorization of 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

Prime Factorization of 7260


2 7260
2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 7260 are 2,3,5,11. Prime factorization of 7260 in exponential form is:

7260 = 22×31×51×112

∴ So by taking common prime factors GCF of 7255 and 7260 is 5

Greatest Common Factor of 7255 and 7260 by matching factors method

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1,5,1451,7255

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors and prime factorization of 7255 and 7260. The biggest common factor number is the GCF number.
So the greatest common factor 7255 and 7260 is 5.

Also check out the Least Common Multiple of 7255 and 7260

Properties of GCF 7255 and 7260

(i) The GCF of 7255 and 7260 is associative

GCF of 7255 and 7260 = GCF of 7260 and 7255

Related Greatest Common Factor of 7255

Related Greatest Common Factor of 7260

Frequently Asked Questions on GCF of 7255 and 7260

1. What is the GCF of 7255 and 7260?

Answer: GCF of 7255 and 7260 is 5.

2. What are the Factors of 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

3. What are the Factors of 7260?

Answer: Factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260. There are 36 integers that are factors of 7260. The greatest factor of 7260 is 7260.

4. How to Find the GCF of 7255 and 7260?

Answer:

Greatest Common Factor of 7255 and 7260 = 5

Step 1: Find the prime factorization of 7255

7255 = 5 x 1451

Step 2: Find the prime factorization of 7260

7260 = 2 x 2 x 3 x 5 x 11 x 11

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 7255 and 7260 is 5