Greatest Common Factor of 799 and 806
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 799, 806 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 799 and 806 is 1.
GCF(799,806) = 1
GCF of 799 and 806
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 799 and 806 by prime factorization method
- Greatest Common Factor of 799 and 806 by matching factors method
GCF of 799 and 806 is 1
Prime Factorization of 799
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:
799 = 171×471
Prime Factorization of 806
| 2 | 806 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 806 are 2,13,31. Prime factorization of 806 in exponential form is:
806 = 21×131×311
∴ So by taking common prime factors GCF of 799 and 806 is 1
Greatest Common Factor of 799 and 806 by matching factors method
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors and prime factorization of 799 and 806. The biggest common factor number is the GCF number.
So the greatest common factor 799 and 806 is 1.
Also check out the Least Common Multiple of 799 and 806
Properties of GCF 799 and 806
(i) The GCF of 799 and 806 is associative
GCF of 799 and 806 = GCF of 806 and 799
Related Greatest Common Factor of 799
Related Greatest Common Factor of 806
Frequently Asked Questions on GCF of 799 and 806
1. What is the GCF of 799 and 806?
Answer: GCF of 799 and 806 is 1.
2. What are the Factors of 799?
Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.
3. What are the Factors of 806?
Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.
4. How to Find the GCF of 799 and 806?
Answer:
Greatest Common Factor of 799 and 806 = 1
Step 1: Find the prime factorization of 799
799 = 17 x 47
Step 2: Find the prime factorization of 806
806 = 2 x 13 x 31
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 799 and 806 is 1