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 8643, 8646 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8643 and 8646 is 3.
GCF(8643,8646) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8643
3 | 8643 |
43 | 2881 |
67 | 67 |
1 |
Prime factors of 8643 are 3,43,67. Prime factorization of 8643 in exponential form is:
8643 = 31×431×671
Prime Factorization of 8646
2 | 8646 |
3 | 4323 |
11 | 1441 |
131 | 131 |
1 |
Prime factors of 8646 are 2,3,11,131. Prime factorization of 8646 in exponential form is:
8646 = 21×31×111×1311
∴ So by taking common prime factors GCF of 8643 and 8646 is 3
Factors of 8643
List of positive integer factors of 8643 that divides 8643 without a remainder.
1,3,43,67,129,201,2881,8643
Factors of 8646
List of positive integer factors of 8646 that divides 8646 without a remainder.
1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Greatest Common Factor
We found the factors and prime factorization of 8643 and 8646. The biggest common factor number is the GCF number.
So the greatest common factor 8643 and 8646 is 3.
Also check out the Least Common Multiple of 8643 and 8646
(i) The GCF of 8643 and 8646 is associative
GCF of 8643 and 8646 = GCF of 8646 and 8643
1. What is the GCF of 8643 and 8646?
Answer: GCF of 8643 and 8646 is 3.
2. What are the Factors of 8643?
Answer: Factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643. There are 8 integers that are factors of 8643. The greatest factor of 8643 is 8643.
3. What are the Factors of 8646?
Answer: Factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646. There are 16 integers that are factors of 8646. The greatest factor of 8646 is 8646.
4. How to Find the GCF of 8643 and 8646?
Answer:
Greatest Common Factor of 8643 and 8646 = 3
Step 1: Find the prime factorization of 8643
8643 = 3 x 43 x 67
Step 2: Find the prime factorization of 8646
8646 = 2 x 3 x 11 x 131
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 8643 and 8646 is 3