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 8795, 8801 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8795 and 8801 is 1.
GCF(8795,8801) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8795
5 | 8795 |
1759 | 1759 |
1 |
Prime factors of 8795 are 5,1759. Prime factorization of 8795 in exponential form is:
8795 = 51×17591
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 8795 and 8801 is 1
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1,5,1759,8795
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 8795 and 8801. The biggest common factor number is the GCF number.
So the greatest common factor 8795 and 8801 is 1.
Also check out the Least Common Multiple of 8795 and 8801
(i) The GCF of 8795 and 8801 is associative
GCF of 8795 and 8801 = GCF of 8801 and 8795
1. What is the GCF of 8795 and 8801?
Answer: GCF of 8795 and 8801 is 1.
2. What are the Factors of 8795?
Answer: Factors of 8795 are 1, 5, 1759, 8795. There are 4 integers that are factors of 8795. The greatest factor of 8795 is 8795.
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 8795 and 8801?
Answer:
Greatest Common Factor of 8795 and 8801 = 1
Step 1: Find the prime factorization of 8795
8795 = 5 x 1759
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 8795 and 8801 is 1