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 8801, 8806 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8801 and 8806 is 1.
GCF(8801,8806) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8801
13 | 8801 |
677 | 677 |
1 |
Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:
8801 = 131×6771
Prime Factorization of 8806
2 | 8806 |
7 | 4403 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 8806 are 2,7,17,37. Prime factorization of 8806 in exponential form is:
8806 = 21×71×171×371
∴ So by taking common prime factors GCF of 8801 and 8806 is 1
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1,13,677,8801
Factors of 8806
List of positive integer factors of 8806 that divides 8806 without a remainder.
1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Greatest Common Factor
We found the factors and prime factorization of 8801 and 8806. The biggest common factor number is the GCF number.
So the greatest common factor 8801 and 8806 is 1.
Also check out the Least Common Multiple of 8801 and 8806
(i) The GCF of 8801 and 8806 is associative
GCF of 8801 and 8806 = GCF of 8806 and 8801
1. What is the GCF of 8801 and 8806?
Answer: GCF of 8801 and 8806 is 1.
2. What are the Factors of 8801?
Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.
3. What are the Factors of 8806?
Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.
4. How to Find the GCF of 8801 and 8806?
Answer:
Greatest Common Factor of 8801 and 8806 = 1
Step 1: Find the prime factorization of 8801
8801 = 13 x 677
Step 2: Find the prime factorization of 8806
8806 = 2 x 7 x 17 x 37
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 8801 and 8806 is 1