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 8642, 8646 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8642 and 8646 is 2.
GCF(8642,8646) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8642
2 | 8642 |
29 | 4321 |
149 | 149 |
1 |
Prime factors of 8642 are 2,29,149. Prime factorization of 8642 in exponential form is:
8642 = 21×291×1491
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 8642 and 8646 is 2
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1,2,29,58,149,298,4321,8642
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 8642 and 8646. The biggest common factor number is the GCF number.
So the greatest common factor 8642 and 8646 is 2.
Also check out the Least Common Multiple of 8642 and 8646
(i) The GCF of 8642 and 8646 is associative
GCF of 8642 and 8646 = GCF of 8646 and 8642
1. What is the GCF of 8642 and 8646?
Answer: GCF of 8642 and 8646 is 2.
2. What are the Factors of 8642?
Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.
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 8642 and 8646?
Answer:
Greatest Common Factor of 8642 and 8646 = 2
Step 1: Find the prime factorization of 8642
8642 = 2 x 29 x 149
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 = 2
Step 4: Therefore, the greatest common factor of 8642 and 8646 is 2