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 8601, 8606 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8601 and 8606 is 1.
GCF(8601,8606) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8601
3 | 8601 |
47 | 2867 |
61 | 61 |
1 |
Prime factors of 8601 are 3,47,61. Prime factorization of 8601 in exponential form is:
8601 = 31×471×611
Prime Factorization of 8606
2 | 8606 |
13 | 4303 |
331 | 331 |
1 |
Prime factors of 8606 are 2,13,331. Prime factorization of 8606 in exponential form is:
8606 = 21×131×3311
∴ So by taking common prime factors GCF of 8601 and 8606 is 1
Factors of 8601
List of positive integer factors of 8601 that divides 8601 without a remainder.
1,3,47,61,141,183,2867,8601
Factors of 8606
List of positive integer factors of 8606 that divides 8606 without a remainder.
1,2,13,26,331,662,4303,8606
Greatest Common Factor
We found the factors and prime factorization of 8601 and 8606. The biggest common factor number is the GCF number.
So the greatest common factor 8601 and 8606 is 1.
Also check out the Least Common Multiple of 8601 and 8606
(i) The GCF of 8601 and 8606 is associative
GCF of 8601 and 8606 = GCF of 8606 and 8601
1. What is the GCF of 8601 and 8606?
Answer: GCF of 8601 and 8606 is 1.
2. What are the Factors of 8601?
Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.
3. What are the Factors of 8606?
Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.
4. How to Find the GCF of 8601 and 8606?
Answer:
Greatest Common Factor of 8601 and 8606 = 1
Step 1: Find the prime factorization of 8601
8601 = 3 x 47 x 61
Step 2: Find the prime factorization of 8606
8606 = 2 x 13 x 331
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8601 and 8606 is 1