Greatest Common Factor of 7278 and 7280

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 7278, 7280 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7278 and 7280 is 2.

GCF(7278,7280) = 2

GCF of 7278 and 7280

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

GCF of:
and

Greatest Common Factor of 7278 and 7280

GCF of 7278 and 7280 is 2

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2,3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

Prime Factorization of 7280


2 7280
2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 7280 are 2,5,7,13. Prime factorization of 7280 in exponential form is:

7280 = 24×51×71×131

∴ So by taking common prime factors GCF of 7278 and 7280 is 2

Greatest Common Factor of 7278 and 7280 by matching factors method

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1,2,3,6,1213,2426,3639,7278

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors and prime factorization of 7278 and 7280. The biggest common factor number is the GCF number.
So the greatest common factor 7278 and 7280 is 2.

Also check out the Least Common Multiple of 7278 and 7280

Properties of GCF 7278 and 7280

(i) The GCF of 7278 and 7280 is associative

GCF of 7278 and 7280 = GCF of 7280 and 7278

Related Greatest Common Factor of 7278

Related Greatest Common Factor of 7280

Frequently Asked Questions on GCF of 7278 and 7280

1. What is the GCF of 7278 and 7280?

Answer: GCF of 7278 and 7280 is 2.

2. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

3. What are the Factors of 7280?

Answer: Factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280. There are 40 integers that are factors of 7280. The greatest factor of 7280 is 7280.

4. How to Find the GCF of 7278 and 7280?

Answer:

Greatest Common Factor of 7278 and 7280 = 2

Step 1: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

Step 2: Find the prime factorization of 7280

7280 = 2 x 2 x 2 x 2 x 5 x 7 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7278 and 7280 is 2