Greatest Common Factor of 2261 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 2261, 2268 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2261 and 2268 is 7.

GCF(2261,2268) = 7

GCF of 2261 and 2268

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

GCF of:
and

Greatest Common Factor of 2261 and 2268

GCF of 2261 and 2268 is 7

Prime Factorization of 2261


7 2261
17 323
19 19
1

Prime factors of 2261 are 7,17,19. Prime factorization of 2261 in exponential form is:

2261 = 71×171×191

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 2261 and 2268 is 7

Greatest Common Factor of 2261 and 2268 by matching factors method

Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1,7,17,19,119,133,323,2261

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 2261 and 2268. The biggest common factor number is the GCF number.
So the greatest common factor 2261 and 2268 is 7.

Also check out the Least Common Multiple of 2261 and 2268

Properties of GCF 2261 and 2268

(i) The GCF of 2261 and 2268 is associative

GCF of 2261 and 2268 = GCF of 2268 and 2261

Related Greatest Common Factor of 2261

Related Greatest Common Factor of 2268

Frequently Asked Questions on GCF of 2261 and 2268

1. What is the GCF of 2261 and 2268?

Answer: GCF of 2261 and 2268 is 7.

2. What are the Factors of 2261?

Answer: Factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261. There are 8 integers that are factors of 2261. The greatest factor of 2261 is 2261.

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 2261 and 2268?

Answer:

Greatest Common Factor of 2261 and 2268 = 7

Step 1: Find the prime factorization of 2261

2261 = 7 x 17 x 19

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 = 7

Step 4: Therefore, the greatest common factor of 2261 and 2268 is 7