Greatest Common Factor of 7260 and 7265

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 7260, 7265 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7260 and 7265 is 5.

GCF(7260,7265) = 5

GCF of 7260 and 7265

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

GCF of:
and

Greatest Common Factor of 7260 and 7265

GCF of 7260 and 7265 is 5

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

Prime Factorization of 7265


5 7265
1453 1453
1

Prime factors of 7265 are 5,1453. Prime factorization of 7265 in exponential form is:

7265 = 51×14531

∴ So by taking common prime factors GCF of 7260 and 7265 is 5

Greatest Common Factor of 7260 and 7265 by matching factors method

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

Factors of 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1,5,1453,7265

Greatest Common Factor

We found the factors and prime factorization of 7260 and 7265. The biggest common factor number is the GCF number.
So the greatest common factor 7260 and 7265 is 5.

Also check out the Least Common Multiple of 7260 and 7265

Properties of GCF 7260 and 7265

(i) The GCF of 7260 and 7265 is associative

GCF of 7260 and 7265 = GCF of 7265 and 7260

Related Greatest Common Factor of 7260

Related Greatest Common Factor of 7265

Frequently Asked Questions on GCF of 7260 and 7265

1. What is the GCF of 7260 and 7265?

Answer: GCF of 7260 and 7265 is 5.

2. 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.

3. What are the Factors of 7265?

Answer: Factors of 7265 are 1, 5, 1453, 7265. There are 4 integers that are factors of 7265. The greatest factor of 7265 is 7265.

4. How to Find the GCF of 7260 and 7265?

Answer:

Greatest Common Factor of 7260 and 7265 = 5

Step 1: Find the prime factorization of 7260

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

Step 2: Find the prime factorization of 7265

7265 = 5 x 1453

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 7260 and 7265 is 5