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 8825, 8829 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8825 and 8829 is 1.
GCF(8825,8829) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8825
5 | 8825 |
5 | 1765 |
353 | 353 |
1 |
Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:
8825 = 52×3531
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
∴ So by taking common prime factors GCF of 8825 and 8829 is 1
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1,5,25,353,1765,8825
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
Greatest Common Factor
We found the factors and prime factorization of 8825 and 8829. The biggest common factor number is the GCF number.
So the greatest common factor 8825 and 8829 is 1.
Also check out the Least Common Multiple of 8825 and 8829
(i) The GCF of 8825 and 8829 is associative
GCF of 8825 and 8829 = GCF of 8829 and 8825
1. What is the GCF of 8825 and 8829?
Answer: GCF of 8825 and 8829 is 1.
2. What are the Factors of 8825?
Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.
3. 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.
4. How to Find the GCF of 8825 and 8829?
Answer:
Greatest Common Factor of 8825 and 8829 = 1
Step 1: Find the prime factorization of 8825
8825 = 5 x 5 x 353
Step 2: Find the prime factorization of 8829
8829 = 3 x 3 x 3 x 3 x 109
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 8825 and 8829 is 1