Greatest Common Factor of 7254 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 7254, 7260 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7254 and 7260 is 6.

GCF(7254,7260) = 6

GCF of 7254 and 7260

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

GCF of:
and

Greatest Common Factor of 7254 and 7260

GCF of 7254 and 7260 is 6

Prime Factorization of 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2,3,13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

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 7254 and 7260 is 6

Greatest Common Factor of 7254 and 7260 by matching factors method

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

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 7254 and 7260. The biggest common factor number is the GCF number.
So the greatest common factor 7254 and 7260 is 6.

Also check out the Least Common Multiple of 7254 and 7260

Properties of GCF 7254 and 7260

(i) The GCF of 7254 and 7260 is associative

GCF of 7254 and 7260 = GCF of 7260 and 7254

Related Greatest Common Factor of 7254

Related Greatest Common Factor of 7260

Frequently Asked Questions on GCF of 7254 and 7260

1. What is the GCF of 7254 and 7260?

Answer: GCF of 7254 and 7260 is 6.

2. What are the Factors of 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

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 7254 and 7260?

Answer:

Greatest Common Factor of 7254 and 7260 = 6

Step 1: Find the prime factorization of 7254

7254 = 2 x 3 x 3 x 13 x 31

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7254 and 7260 is 6