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 8805, 8813 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8805 and 8813 is 1.
GCF(8805,8813) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8805
3 | 8805 |
5 | 2935 |
587 | 587 |
1 |
Prime factors of 8805 are 3,5,587. Prime factorization of 8805 in exponential form is:
8805 = 31×51×5871
Prime Factorization of 8813
7 | 8813 |
1259 | 1259 |
1 |
Prime factors of 8813 are 7,1259. Prime factorization of 8813 in exponential form is:
8813 = 71×12591
∴ So by taking common prime factors GCF of 8805 and 8813 is 1
Factors of 8805
List of positive integer factors of 8805 that divides 8805 without a remainder.
1,3,5,15,587,1761,2935,8805
Factors of 8813
List of positive integer factors of 8813 that divides 8813 without a remainder.
1,7,1259,8813
Greatest Common Factor
We found the factors and prime factorization of 8805 and 8813. The biggest common factor number is the GCF number.
So the greatest common factor 8805 and 8813 is 1.
Also check out the Least Common Multiple of 8805 and 8813
(i) The GCF of 8805 and 8813 is associative
GCF of 8805 and 8813 = GCF of 8813 and 8805
1. What is the GCF of 8805 and 8813?
Answer: GCF of 8805 and 8813 is 1.
2. What are the Factors of 8805?
Answer: Factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805. There are 8 integers that are factors of 8805. The greatest factor of 8805 is 8805.
3. What are the Factors of 8813?
Answer: Factors of 8813 are 1, 7, 1259, 8813. There are 4 integers that are factors of 8813. The greatest factor of 8813 is 8813.
4. How to Find the GCF of 8805 and 8813?
Answer:
Greatest Common Factor of 8805 and 8813 = 1
Step 1: Find the prime factorization of 8805
8805 = 3 x 5 x 587
Step 2: Find the prime factorization of 8813
8813 = 7 x 1259
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 8805 and 8813 is 1