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, 2271 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2268 and 2271 is 3.
GCF(2268,2271) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 2271
3 | 2271 |
757 | 757 |
1 |
Prime factors of 2271 are 3,757. Prime factorization of 2271 in exponential form is:
2271 = 31×7571
∴ So by taking common prime factors GCF of 2268 and 2271 is 3
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 2271
List of positive integer factors of 2271 that divides 2271 without a remainder.
1,3,757,2271
Greatest Common Factor
We found the factors and prime factorization of 2268 and 2271. The biggest common factor number is the GCF number.
So the greatest common factor 2268 and 2271 is 3.
Also check out the Least Common Multiple of 2268 and 2271
(i) The GCF of 2268 and 2271 is associative
GCF of 2268 and 2271 = GCF of 2271 and 2268
1. What is the GCF of 2268 and 2271?
Answer: GCF of 2268 and 2271 is 3.
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 2271?
Answer: Factors of 2271 are 1, 3, 757, 2271. There are 4 integers that are factors of 2271. The greatest factor of 2271 is 2271.
4. How to Find the GCF of 2268 and 2271?
Answer:
Greatest Common Factor of 2268 and 2271 = 3
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 2271
2271 = 3 x 757
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2268 and 2271 is 3