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 8487, 8490 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8487 and 8490 is 3.
GCF(8487,8490) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8487
3 | 8487 |
3 | 2829 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 8487 are 3,23,41. Prime factorization of 8487 in exponential form is:
8487 = 32×231×411
Prime Factorization of 8490
2 | 8490 |
3 | 4245 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 8490 are 2,3,5,283. Prime factorization of 8490 in exponential form is:
8490 = 21×31×51×2831
∴ So by taking common prime factors GCF of 8487 and 8490 is 3
Factors of 8487
List of positive integer factors of 8487 that divides 8487 without a remainder.
1,3,9,23,41,69,123,207,369,943,2829,8487
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors and prime factorization of 8487 and 8490. The biggest common factor number is the GCF number.
So the greatest common factor 8487 and 8490 is 3.
Also check out the Least Common Multiple of 8487 and 8490
(i) The GCF of 8487 and 8490 is associative
GCF of 8487 and 8490 = GCF of 8490 and 8487
1. What is the GCF of 8487 and 8490?
Answer: GCF of 8487 and 8490 is 3.
2. What are the Factors of 8487?
Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.
3. What are the Factors of 8490?
Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.
4. How to Find the GCF of 8487 and 8490?
Answer:
Greatest Common Factor of 8487 and 8490 = 3
Step 1: Find the prime factorization of 8487
8487 = 3 x 3 x 23 x 41
Step 2: Find the prime factorization of 8490
8490 = 2 x 3 x 5 x 283
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 8487 and 8490 is 3