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 8789, 8791 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8789 and 8791 is 1.
GCF(8789,8791) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8789
11 | 8789 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 8789 are 11,17,47. Prime factorization of 8789 in exponential form is:
8789 = 111×171×471
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
∴ So by taking common prime factors GCF of 8789 and 8791 is 1
Factors of 8789
List of positive integer factors of 8789 that divides 8789 without a remainder.
1,11,17,47,187,517,799,8789
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1,59,149,8791
Greatest Common Factor
We found the factors and prime factorization of 8789 and 8791. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8791 is 1.
Also check out the Least Common Multiple of 8789 and 8791
(i) The GCF of 8789 and 8791 is associative
GCF of 8789 and 8791 = GCF of 8791 and 8789
1. What is the GCF of 8789 and 8791?
Answer: GCF of 8789 and 8791 is 1.
2. What are the Factors of 8789?
Answer: Factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789. There are 8 integers that are factors of 8789. The greatest factor of 8789 is 8789.
3. 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.
4. How to Find the GCF of 8789 and 8791?
Answer:
Greatest Common Factor of 8789 and 8791 = 1
Step 1: Find the prime factorization of 8789
8789 = 11 x 17 x 47
Step 2: Find the prime factorization of 8791
8791 = 59 x 149
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 8789 and 8791 is 1