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 8829, 8836 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8829 and 8836 is 1.
GCF(8829,8836) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8829
3 | 8829 |
3 | 2943 |
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 8829 are 3,109. Prime factorization of 8829 in exponential form is:
8829 = 34×1091
Prime Factorization of 8836
2 | 8836 |
2 | 4418 |
47 | 2209 |
47 | 47 |
1 |
Prime factors of 8836 are 2,47. Prime factorization of 8836 in exponential form is:
8836 = 22×472
∴ So by taking common prime factors GCF of 8829 and 8836 is 1
Factors of 8829
List of positive integer factors of 8829 that divides 8829 without a remainder.
1,3,9,27,81,109,327,981,2943,8829
Factors of 8836
List of positive integer factors of 8836 that divides 8836 without a remainder.
1,2,4,47,94,188,2209,4418,8836
Greatest Common Factor
We found the factors and prime factorization of 8829 and 8836. The biggest common factor number is the GCF number.
So the greatest common factor 8829 and 8836 is 1.
Also check out the Least Common Multiple of 8829 and 8836
(i) The GCF of 8829 and 8836 is associative
GCF of 8829 and 8836 = GCF of 8836 and 8829
1. What is the GCF of 8829 and 8836?
Answer: GCF of 8829 and 8836 is 1.
2. What are the Factors of 8829?
Answer: Factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829. There are 10 integers that are factors of 8829. The greatest factor of 8829 is 8829.
3. What are the Factors of 8836?
Answer: Factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836. There are 9 integers that are factors of 8836. The greatest factor of 8836 is 8836.
4. How to Find the GCF of 8829 and 8836?
Answer:
Greatest Common Factor of 8829 and 8836 = 1
Step 1: Find the prime factorization of 8829
8829 = 3 x 3 x 3 x 3 x 109
Step 2: Find the prime factorization of 8836
8836 = 2 x 2 x 47 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 8829 and 8836 is 1