Greatest Common Factor of 2262 and 2268

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 2262, 2268 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2262 and 2268 is 6.

GCF(2262,2268) = 6

GCF of 2262 and 2268

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

GCF of:
and

Greatest Common Factor of 2262 and 2268

GCF of 2262 and 2268 is 6

Prime Factorization of 2262


2 2262
3 1131
13 377
29 29
1

Prime factors of 2262 are 2,3,13,29. Prime factorization of 2262 in exponential form is:

2262 = 21×31×131×291

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

∴ So by taking common prime factors GCF of 2262 and 2268 is 6

Greatest Common Factor of 2262 and 2268 by matching factors method

Factors of 2262

List of positive integer factors of 2262 that divides 2262 without a remainder.

1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262

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

Greatest Common Factor

We found the factors and prime factorization of 2262 and 2268. The biggest common factor number is the GCF number.
So the greatest common factor 2262 and 2268 is 6.

Also check out the Least Common Multiple of 2262 and 2268

Properties of GCF 2262 and 2268

(i) The GCF of 2262 and 2268 is associative

GCF of 2262 and 2268 = GCF of 2268 and 2262

Related Greatest Common Factor of 2262

Related Greatest Common Factor of 2268

Frequently Asked Questions on GCF of 2262 and 2268

1. What is the GCF of 2262 and 2268?

Answer: GCF of 2262 and 2268 is 6.

2. What are the Factors of 2262?

Answer: Factors of 2262 are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131, 2262. There are 16 integers that are factors of 2262. The greatest factor of 2262 is 2262.

3. 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.

4. How to Find the GCF of 2262 and 2268?

Answer:

Greatest Common Factor of 2262 and 2268 = 6

Step 1: Find the prime factorization of 2262

2262 = 2 x 3 x 13 x 29

Step 2: Find the prime factorization of 2268

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2262 and 2268 is 6