Greatest Common Factor of 2280 and 2288

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 2280, 2288 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2280 and 2288 is 8.

GCF(2280,2288) = 8

GCF of 2280 and 2288

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

GCF of:
and

Greatest Common Factor of 2280 and 2288

GCF of 2280 and 2288 is 8

Prime Factorization of 2280


2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 2280 are 2,3,5,19. Prime factorization of 2280 in exponential form is:

2280 = 23×31×51×191

Prime Factorization of 2288


2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 2288 are 2,11,13. Prime factorization of 2288 in exponential form is:

2288 = 24×111×131

∴ So by taking common prime factors GCF of 2280 and 2288 is 8

Greatest Common Factor of 2280 and 2288 by matching factors method

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Factors of 2288

List of positive integer factors of 2288 that divides 2288 without a remainder.

1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288

Greatest Common Factor

We found the factors and prime factorization of 2280 and 2288. The biggest common factor number is the GCF number.
So the greatest common factor 2280 and 2288 is 8.

Also check out the Least Common Multiple of 2280 and 2288

Properties of GCF 2280 and 2288

(i) The GCF of 2280 and 2288 is associative

GCF of 2280 and 2288 = GCF of 2288 and 2280

Related Greatest Common Factor of 2280

Related Greatest Common Factor of 2288

Frequently Asked Questions on GCF of 2280 and 2288

1. What is the GCF of 2280 and 2288?

Answer: GCF of 2280 and 2288 is 8.

2. What are the Factors of 2280?

Answer: Factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280. There are 32 integers that are factors of 2280. The greatest factor of 2280 is 2280.

3. What are the Factors of 2288?

Answer: Factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288. There are 20 integers that are factors of 2288. The greatest factor of 2288 is 2288.

4. How to Find the GCF of 2280 and 2288?

Answer:

Greatest Common Factor of 2280 and 2288 = 8

Step 1: Find the prime factorization of 2280

2280 = 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 2288

2288 = 2 x 2 x 2 x 2 x 11 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2280 and 2288 is 8