Greatest Common Factor of 7260 and 7268

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, 7268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7260 and 7268 is 4.

GCF(7260,7268) = 4

GCF of 7260 and 7268

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

GCF of:
and

Greatest Common Factor of 7260 and 7268

GCF of 7260 and 7268 is 4

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 7268


2 7268
2 3634
23 1817
79 79
1

Prime factors of 7268 are 2,23,79. Prime factorization of 7268 in exponential form is:

7268 = 22×231×791

∴ So by taking common prime factors GCF of 7260 and 7268 is 4

Greatest Common Factor of 7260 and 7268 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 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1,2,4,23,46,79,92,158,316,1817,3634,7268

Greatest Common Factor

We found the factors and prime factorization of 7260 and 7268. The biggest common factor number is the GCF number.
So the greatest common factor 7260 and 7268 is 4.

Also check out the Least Common Multiple of 7260 and 7268

Properties of GCF 7260 and 7268

(i) The GCF of 7260 and 7268 is associative

GCF of 7260 and 7268 = GCF of 7268 and 7260

Related Greatest Common Factor of 7260

Related Greatest Common Factor of 7268

Frequently Asked Questions on GCF of 7260 and 7268

1. What is the GCF of 7260 and 7268?

Answer: GCF of 7260 and 7268 is 4.

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 7268?

Answer: Factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268. There are 12 integers that are factors of 7268. The greatest factor of 7268 is 7268.

4. How to Find the GCF of 7260 and 7268?

Answer:

Greatest Common Factor of 7260 and 7268 = 4

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 7268

7268 = 2 x 2 x 23 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7260 and 7268 is 4