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 8799, 8801 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8799 and 8801 is 1.
GCF(8799,8801) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8799
3 | 8799 |
7 | 2933 |
419 | 419 |
1 |
Prime factors of 8799 are 3,7,419. Prime factorization of 8799 in exponential form is:
8799 = 31×71×4191
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
∴ So by taking common prime factors GCF of 8799 and 8801 is 1
Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1,3,7,21,419,1257,2933,8799
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1,13,677,8801
Greatest Common Factor
We found the factors and prime factorization of 8799 and 8801. The biggest common factor number is the GCF number.
So the greatest common factor 8799 and 8801 is 1.
Also check out the Least Common Multiple of 8799 and 8801
(i) The GCF of 8799 and 8801 is associative
GCF of 8799 and 8801 = GCF of 8801 and 8799
1. What is the GCF of 8799 and 8801?
Answer: GCF of 8799 and 8801 is 1.
2. What are the Factors of 8799?
Answer: Factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799. There are 8 integers that are factors of 8799. The greatest factor of 8799 is 8799.
3. 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.
4. How to Find the GCF of 8799 and 8801?
Answer:
Greatest Common Factor of 8799 and 8801 = 1
Step 1: Find the prime factorization of 8799
8799 = 3 x 7 x 419
Step 2: Find the prime factorization of 8801
8801 = 13 x 677
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 8799 and 8801 is 1