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 4284, 4287 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4284 and 4287 is 3.
GCF(4284,4287) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4284
2 | 4284 |
2 | 2142 |
3 | 1071 |
3 | 357 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 4284 are 2,3,7,17. Prime factorization of 4284 in exponential form is:
4284 = 22×32×71×171
Prime Factorization of 4287
3 | 4287 |
1429 | 1429 |
1 |
Prime factors of 4287 are 3,1429. Prime factorization of 4287 in exponential form is:
4287 = 31×14291
∴ So by taking common prime factors GCF of 4284 and 4287 is 3
Factors of 4284
List of positive integer factors of 4284 that divides 4284 without a remainder.
1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors and prime factorization of 4284 and 4287. The biggest common factor number is the GCF number.
So the greatest common factor 4284 and 4287 is 3.
Also check out the Least Common Multiple of 4284 and 4287
(i) The GCF of 4284 and 4287 is associative
GCF of 4284 and 4287 = GCF of 4287 and 4284
1. What is the GCF of 4284 and 4287?
Answer: GCF of 4284 and 4287 is 3.
2. What are the Factors of 4284?
Answer: Factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284. There are 36 integers that are factors of 4284. The greatest factor of 4284 is 4284.
3. What are the Factors of 4287?
Answer: Factors of 4287 are 1, 3, 1429, 4287. There are 4 integers that are factors of 4287. The greatest factor of 4287 is 4287.
4. How to Find the GCF of 4284 and 4287?
Answer:
Greatest Common Factor of 4284 and 4287 = 3
Step 1: Find the prime factorization of 4284
4284 = 2 x 2 x 3 x 3 x 7 x 17
Step 2: Find the prime factorization of 4287
4287 = 3 x 1429
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 4284 and 4287 is 3