Greatest Common Factor of 2272 and 2280

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 2272, 2280 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2272 and 2280 is 8.

GCF(2272,2280) = 8

GCF of 2272 and 2280

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

GCF of:
and

Greatest Common Factor of 2272 and 2280

GCF of 2272 and 2280 is 8

Prime Factorization of 2272


2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 2272 are 2,71. Prime factorization of 2272 in exponential form is:

2272 = 25×711

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

∴ So by taking common prime factors GCF of 2272 and 2280 is 8

Greatest Common Factor of 2272 and 2280 by matching factors method

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

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

Greatest Common Factor

We found the factors and prime factorization of 2272 and 2280. The biggest common factor number is the GCF number.
So the greatest common factor 2272 and 2280 is 8.

Also check out the Least Common Multiple of 2272 and 2280

Properties of GCF 2272 and 2280

(i) The GCF of 2272 and 2280 is associative

GCF of 2272 and 2280 = GCF of 2280 and 2272

Related Greatest Common Factor of 2272

Related Greatest Common Factor of 2280

Frequently Asked Questions on GCF of 2272 and 2280

1. What is the GCF of 2272 and 2280?

Answer: GCF of 2272 and 2280 is 8.

2. What are the Factors of 2272?

Answer: Factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272. There are 12 integers that are factors of 2272. The greatest factor of 2272 is 2272.

3. 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.

4. How to Find the GCF of 2272 and 2280?

Answer:

Greatest Common Factor of 2272 and 2280 = 8

Step 1: Find the prime factorization of 2272

2272 = 2 x 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 2280

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

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 2272 and 2280 is 8