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 2278, 2284 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2278 and 2284 is 2.
GCF(2278,2284) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2278
2 | 2278 |
17 | 1139 |
67 | 67 |
1 |
Prime factors of 2278 are 2,17,67. Prime factorization of 2278 in exponential form is:
2278 = 21×171×671
Prime Factorization of 2284
2 | 2284 |
2 | 1142 |
571 | 571 |
1 |
Prime factors of 2284 are 2,571. Prime factorization of 2284 in exponential form is:
2284 = 22×5711
∴ So by taking common prime factors GCF of 2278 and 2284 is 2
Factors of 2278
List of positive integer factors of 2278 that divides 2278 without a remainder.
1,2,17,34,67,134,1139,2278
Factors of 2284
List of positive integer factors of 2284 that divides 2284 without a remainder.
1,2,4,571,1142,2284
Greatest Common Factor
We found the factors and prime factorization of 2278 and 2284. The biggest common factor number is the GCF number.
So the greatest common factor 2278 and 2284 is 2.
Also check out the Least Common Multiple of 2278 and 2284
(i) The GCF of 2278 and 2284 is associative
GCF of 2278 and 2284 = GCF of 2284 and 2278
1. What is the GCF of 2278 and 2284?
Answer: GCF of 2278 and 2284 is 2.
2. What are the Factors of 2278?
Answer: Factors of 2278 are 1, 2, 17, 34, 67, 134, 1139, 2278. There are 8 integers that are factors of 2278. The greatest factor of 2278 is 2278.
3. What are the Factors of 2284?
Answer: Factors of 2284 are 1, 2, 4, 571, 1142, 2284. There are 6 integers that are factors of 2284. The greatest factor of 2284 is 2284.
4. How to Find the GCF of 2278 and 2284?
Answer:
Greatest Common Factor of 2278 and 2284 = 2
Step 1: Find the prime factorization of 2278
2278 = 2 x 17 x 67
Step 2: Find the prime factorization of 2284
2284 = 2 x 2 x 571
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2278 and 2284 is 2