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 8791, 8799 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8791 and 8799 is 1.
GCF(8791,8799) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8791
59 | 8791 |
149 | 149 |
1 |
Prime factors of 8791 are 59,149. Prime factorization of 8791 in exponential form is:
8791 = 591×1491
Prime Factorization of 8799
3 | 8799 |
7 | 2933 |
419 | 419 |
1 |
Prime factors of 8799 are 3,7,419. Prime factorization of 8799 in exponential form is:
8799 = 31×71×4191
∴ So by taking common prime factors GCF of 8791 and 8799 is 1
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1,59,149,8791
Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1,3,7,21,419,1257,2933,8799
Greatest Common Factor
We found the factors and prime factorization of 8791 and 8799. The biggest common factor number is the GCF number.
So the greatest common factor 8791 and 8799 is 1.
Also check out the Least Common Multiple of 8791 and 8799
(i) The GCF of 8791 and 8799 is associative
GCF of 8791 and 8799 = GCF of 8799 and 8791
1. What is the GCF of 8791 and 8799?
Answer: GCF of 8791 and 8799 is 1.
2. What are the Factors of 8791?
Answer: Factors of 8791 are 1, 59, 149, 8791. There are 4 integers that are factors of 8791. The greatest factor of 8791 is 8791.
3. What are the Factors of 8799?
Answer: Factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799. There are 8 integers that are factors of 8799. The greatest factor of 8799 is 8799.
4. How to Find the GCF of 8791 and 8799?
Answer:
Greatest Common Factor of 8791 and 8799 = 1
Step 1: Find the prime factorization of 8791
8791 = 59 x 149
Step 2: Find the prime factorization of 8799
8799 = 3 x 7 x 419
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 8791 and 8799 is 1