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 8670, 8673 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8670 and 8673 is 3.
GCF(8670,8673) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8670
2 | 8670 |
3 | 4335 |
5 | 1445 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 8670 are 2,3,5,17. Prime factorization of 8670 in exponential form is:
8670 = 21×31×51×172
Prime Factorization of 8673
3 | 8673 |
7 | 2891 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 8673 are 3,7,59. Prime factorization of 8673 in exponential form is:
8673 = 31×72×591
∴ So by taking common prime factors GCF of 8670 and 8673 is 3
Factors of 8670
List of positive integer factors of 8670 that divides 8670 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670
Factors of 8673
List of positive integer factors of 8673 that divides 8673 without a remainder.
1,3,7,21,49,59,147,177,413,1239,2891,8673
Greatest Common Factor
We found the factors and prime factorization of 8670 and 8673. The biggest common factor number is the GCF number.
So the greatest common factor 8670 and 8673 is 3.
Also check out the Least Common Multiple of 8670 and 8673
(i) The GCF of 8670 and 8673 is associative
GCF of 8670 and 8673 = GCF of 8673 and 8670
1. What is the GCF of 8670 and 8673?
Answer: GCF of 8670 and 8673 is 3.
2. What are the Factors of 8670?
Answer: Factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670. There are 24 integers that are factors of 8670. The greatest factor of 8670 is 8670.
3. What are the Factors of 8673?
Answer: Factors of 8673 are 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673. There are 12 integers that are factors of 8673. The greatest factor of 8673 is 8673.
4. How to Find the GCF of 8670 and 8673?
Answer:
Greatest Common Factor of 8670 and 8673 = 3
Step 1: Find the prime factorization of 8670
8670 = 2 x 3 x 5 x 17 x 17
Step 2: Find the prime factorization of 8673
8673 = 3 x 7 x 7 x 59
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 8670 and 8673 is 3