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 2271, 2277 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2271 and 2277 is 3.
GCF(2271,2277) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2277
3 | 2277 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 2277 are 3,11,23. Prime factorization of 2277 in exponential form is:
2277 = 32×111×231
∴ So by taking common prime factors GCF of 2271 and 2277 is 3
Factors of 2271
List of positive integer factors of 2271 that divides 2271 without a remainder.
1,3,757,2271
Factors of 2277
List of positive integer factors of 2277 that divides 2277 without a remainder.
1,3,9,11,23,33,69,99,207,253,759,2277
Greatest Common Factor
We found the factors and prime factorization of 2271 and 2277. The biggest common factor number is the GCF number.
So the greatest common factor 2271 and 2277 is 3.
Also check out the Least Common Multiple of 2271 and 2277
(i) The GCF of 2271 and 2277 is associative
GCF of 2271 and 2277 = GCF of 2277 and 2271
1. What is the GCF of 2271 and 2277?
Answer: GCF of 2271 and 2277 is 3.
2. 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.
3. What are the Factors of 2277?
Answer: Factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277. There are 12 integers that are factors of 2277. The greatest factor of 2277 is 2277.
4. How to Find the GCF of 2271 and 2277?
Answer:
Greatest Common Factor of 2271 and 2277 = 3
Step 1: Find the prime factorization of 2271
2271 = 3 x 757
Step 2: Find the prime factorization of 2277
2277 = 3 x 3 x 11 x 23
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 2271 and 2277 is 3