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 805, 807 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 805 and 807 is 1.
GCF(805,807) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 805
5 | 805 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 805 are 5,7,23. Prime factorization of 805 in exponential form is:
805 = 51×71×231
Prime Factorization of 807
3 | 807 |
269 | 269 |
1 |
Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:
807 = 31×2691
∴ So by taking common prime factors GCF of 805 and 807 is 1
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors and prime factorization of 805 and 807. The biggest common factor number is the GCF number.
So the greatest common factor 805 and 807 is 1.
Also check out the Least Common Multiple of 805 and 807
(i) The GCF of 805 and 807 is associative
GCF of 805 and 807 = GCF of 807 and 805
1. What is the GCF of 805 and 807?
Answer: GCF of 805 and 807 is 1.
2. What are the Factors of 805?
Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.
3. What are the Factors of 807?
Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.
4. How to Find the GCF of 805 and 807?
Answer:
Greatest Common Factor of 805 and 807 = 1
Step 1: Find the prime factorization of 805
805 = 5 x 7 x 23
Step 2: Find the prime factorization of 807
807 = 3 x 269
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 805 and 807 is 1