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 793, 799 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 793 and 799 is 1.
GCF(793,799) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 793
13 | 793 |
61 | 61 |
1 |
Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:
793 = 131×611
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
∴ So by taking common prime factors GCF of 793 and 799 is 1
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors and prime factorization of 793 and 799. The biggest common factor number is the GCF number.
So the greatest common factor 793 and 799 is 1.
Also check out the Least Common Multiple of 793 and 799
(i) The GCF of 793 and 799 is associative
GCF of 793 and 799 = GCF of 799 and 793
1. What is the GCF of 793 and 799?
Answer: GCF of 793 and 799 is 1.
2. What are the Factors of 793?
Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.
3. 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.
4. How to Find the GCF of 793 and 799?
Answer:
Greatest Common Factor of 793 and 799 = 1
Step 1: Find the prime factorization of 793
793 = 13 x 61
Step 2: Find the prime factorization of 799
799 = 17 x 47
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 793 and 799 is 1