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 8823, 8828 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8823 and 8828 is 1.
GCF(8823,8828) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8823
3 | 8823 |
17 | 2941 |
173 | 173 |
1 |
Prime factors of 8823 are 3,17,173. Prime factorization of 8823 in exponential form is:
8823 = 31×171×1731
Prime Factorization of 8828
2 | 8828 |
2 | 4414 |
2207 | 2207 |
1 |
Prime factors of 8828 are 2,2207. Prime factorization of 8828 in exponential form is:
8828 = 22×22071
∴ So by taking common prime factors GCF of 8823 and 8828 is 1
Factors of 8823
List of positive integer factors of 8823 that divides 8823 without a remainder.
1,3,17,51,173,519,2941,8823
Factors of 8828
List of positive integer factors of 8828 that divides 8828 without a remainder.
1,2,4,2207,4414,8828
Greatest Common Factor
We found the factors and prime factorization of 8823 and 8828. The biggest common factor number is the GCF number.
So the greatest common factor 8823 and 8828 is 1.
Also check out the Least Common Multiple of 8823 and 8828
(i) The GCF of 8823 and 8828 is associative
GCF of 8823 and 8828 = GCF of 8828 and 8823
1. What is the GCF of 8823 and 8828?
Answer: GCF of 8823 and 8828 is 1.
2. What are the Factors of 8823?
Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.
3. What are the Factors of 8828?
Answer: Factors of 8828 are 1, 2, 4, 2207, 4414, 8828. There are 6 integers that are factors of 8828. The greatest factor of 8828 is 8828.
4. How to Find the GCF of 8823 and 8828?
Answer:
Greatest Common Factor of 8823 and 8828 = 1
Step 1: Find the prime factorization of 8823
8823 = 3 x 17 x 173
Step 2: Find the prime factorization of 8828
8828 = 2 x 2 x 2207
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 8823 and 8828 is 1