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, 8795 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8789 and 8795 is 1.
GCF(8789,8795) = 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 8795
5 | 8795 |
1759 | 1759 |
1 |
Prime factors of 8795 are 5,1759. Prime factorization of 8795 in exponential form is:
8795 = 51×17591
∴ So by taking common prime factors GCF of 8789 and 8795 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 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1,5,1759,8795
Greatest Common Factor
We found the factors and prime factorization of 8789 and 8795. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8795 is 1.
Also check out the Least Common Multiple of 8789 and 8795
(i) The GCF of 8789 and 8795 is associative
GCF of 8789 and 8795 = GCF of 8795 and 8789
1. What is the GCF of 8789 and 8795?
Answer: GCF of 8789 and 8795 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 8795?
Answer: Factors of 8795 are 1, 5, 1759, 8795. There are 4 integers that are factors of 8795. The greatest factor of 8795 is 8795.
4. How to Find the GCF of 8789 and 8795?
Answer:
Greatest Common Factor of 8789 and 8795 = 1
Step 1: Find the prime factorization of 8789
8789 = 11 x 17 x 47
Step 2: Find the prime factorization of 8795
8795 = 5 x 1759
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 8795 is 1