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 8811, 8817 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8811 and 8817 is 3.
GCF(8811,8817) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8811
3 | 8811 |
3 | 2937 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 8811 are 3,11,89. Prime factorization of 8811 in exponential form is:
8811 = 32×111×891
Prime Factorization of 8817
3 | 8817 |
2939 | 2939 |
1 |
Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:
8817 = 31×29391
∴ So by taking common prime factors GCF of 8811 and 8817 is 3
Factors of 8811
List of positive integer factors of 8811 that divides 8811 without a remainder.
1,3,9,11,33,89,99,267,801,979,2937,8811
Factors of 8817
List of positive integer factors of 8817 that divides 8817 without a remainder.
1,3,2939,8817
Greatest Common Factor
We found the factors and prime factorization of 8811 and 8817. The biggest common factor number is the GCF number.
So the greatest common factor 8811 and 8817 is 3.
Also check out the Least Common Multiple of 8811 and 8817
(i) The GCF of 8811 and 8817 is associative
GCF of 8811 and 8817 = GCF of 8817 and 8811
1. What is the GCF of 8811 and 8817?
Answer: GCF of 8811 and 8817 is 3.
2. What are the Factors of 8811?
Answer: Factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811. There are 12 integers that are factors of 8811. The greatest factor of 8811 is 8811.
3. What are the Factors of 8817?
Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.
4. How to Find the GCF of 8811 and 8817?
Answer:
Greatest Common Factor of 8811 and 8817 = 3
Step 1: Find the prime factorization of 8811
8811 = 3 x 3 x 11 x 89
Step 2: Find the prime factorization of 8817
8817 = 3 x 2939
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8811 and 8817 is 3