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 8815, 8821 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8815 and 8821 is 1.
GCF(8815,8821) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8815
5 | 8815 |
41 | 1763 |
43 | 43 |
1 |
Prime factors of 8815 are 5,41,43. Prime factorization of 8815 in exponential form is:
8815 = 51×411×431
Prime Factorization of 8821
8821 | 8821 |
1 |
Prime factors of 8821 are 8821. Prime factorization of 8821 in exponential form is:
8821 = 88211
∴ So by taking common prime factors GCF of 8815 and 8821 is 1
Factors of 8815
List of positive integer factors of 8815 that divides 8815 without a remainder.
1,5,41,43,205,215,1763,8815
Factors of 8821
List of positive integer factors of 8821 that divides 8821 without a remainder.
1,8821
Greatest Common Factor
We found the factors and prime factorization of 8815 and 8821. The biggest common factor number is the GCF number.
So the greatest common factor 8815 and 8821 is 1.
Also check out the Least Common Multiple of 8815 and 8821
(i) The GCF of 8815 and 8821 is associative
GCF of 8815 and 8821 = GCF of 8821 and 8815
1. What is the GCF of 8815 and 8821?
Answer: GCF of 8815 and 8821 is 1.
2. What are the Factors of 8815?
Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.
3. What are the Factors of 8821?
Answer: Factors of 8821 are 1, 8821. There are 2 integers that are factors of 8821. The greatest factor of 8821 is 8821.
4. How to Find the GCF of 8815 and 8821?
Answer:
Greatest Common Factor of 8815 and 8821 = 1
Step 1: Find the prime factorization of 8815
8815 = 5 x 41 x 43
Step 2: Find the prime factorization of 8821
8821 = 8821
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 8815 and 8821 is 1