Greatest Common Factor of 2268 and 2275

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, 2275 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2268 and 2275 is 7.

GCF(2268,2275) = 7

GCF of 2268 and 2275

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

GCF of:
and

Greatest Common Factor of 2268 and 2275

GCF of 2268 and 2275 is 7

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 2275


5 2275
5 455
7 91
13 13
1

Prime factors of 2275 are 5,7,13. Prime factorization of 2275 in exponential form is:

2275 = 52×71×131

∴ So by taking common prime factors GCF of 2268 and 2275 is 7

Greatest Common Factor of 2268 and 2275 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 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1,5,7,13,25,35,65,91,175,325,455,2275

Greatest Common Factor

We found the factors and prime factorization of 2268 and 2275. The biggest common factor number is the GCF number.
So the greatest common factor 2268 and 2275 is 7.

Also check out the Least Common Multiple of 2268 and 2275

Properties of GCF 2268 and 2275

(i) The GCF of 2268 and 2275 is associative

GCF of 2268 and 2275 = GCF of 2275 and 2268

Related Greatest Common Factor of 2268

Related Greatest Common Factor of 2275

Frequently Asked Questions on GCF of 2268 and 2275

1. What is the GCF of 2268 and 2275?

Answer: GCF of 2268 and 2275 is 7.

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 2275?

Answer: Factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275. There are 12 integers that are factors of 2275. The greatest factor of 2275 is 2275.

4. How to Find the GCF of 2268 and 2275?

Answer:

Greatest Common Factor of 2268 and 2275 = 7

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 2275

2275 = 5 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 = 7

Step 4: Therefore, the greatest common factor of 2268 and 2275 is 7