Greatest Common Factor of 2268 and 2272

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 2268, 2272 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2268 and 2272 is 4.

GCF(2268,2272) = 4

GCF of 2268 and 2272

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

GCF of:
and

Greatest Common Factor of 2268 and 2272

GCF of 2268 and 2272 is 4

Prime Factorization of 2268


2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 2268 are 2,3,7. Prime factorization of 2268 in exponential form is:

2268 = 22×34×71

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

∴ So by taking common prime factors GCF of 2268 and 2272 is 4

Greatest Common Factor of 2268 and 2272 by matching factors method

Factors of 2268

List of positive integer factors of 2268 that divides 2268 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268

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

Greatest Common Factor

We found the factors and prime factorization of 2268 and 2272. The biggest common factor number is the GCF number.
So the greatest common factor 2268 and 2272 is 4.

Also check out the Least Common Multiple of 2268 and 2272

Properties of GCF 2268 and 2272

(i) The GCF of 2268 and 2272 is associative

GCF of 2268 and 2272 = GCF of 2272 and 2268

Related Greatest Common Factor of 2268

Related Greatest Common Factor of 2272

Frequently Asked Questions on GCF of 2268 and 2272

1. What is the GCF of 2268 and 2272?

Answer: GCF of 2268 and 2272 is 4.

2. What are the Factors of 2268?

Answer: Factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268. There are 30 integers that are factors of 2268. The greatest factor of 2268 is 2268.

3. 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.

4. How to Find the GCF of 2268 and 2272?

Answer:

Greatest Common Factor of 2268 and 2272 = 4

Step 1: Find the prime factorization of 2268

2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 2272

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

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 2268 and 2272 is 4