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 8804, 8811 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8804 and 8811 is 1.
GCF(8804,8811) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8804
2 | 8804 |
2 | 4402 |
31 | 2201 |
71 | 71 |
1 |
Prime factors of 8804 are 2,31,71. Prime factorization of 8804 in exponential form is:
8804 = 22×311×711
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
∴ So by taking common prime factors GCF of 8804 and 8811 is 1
Factors of 8804
List of positive integer factors of 8804 that divides 8804 without a remainder.
1,2,4,31,62,71,124,142,284,2201,4402,8804
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
Greatest Common Factor
We found the factors and prime factorization of 8804 and 8811. The biggest common factor number is the GCF number.
So the greatest common factor 8804 and 8811 is 1.
Also check out the Least Common Multiple of 8804 and 8811
(i) The GCF of 8804 and 8811 is associative
GCF of 8804 and 8811 = GCF of 8811 and 8804
1. What is the GCF of 8804 and 8811?
Answer: GCF of 8804 and 8811 is 1.
2. What are the Factors of 8804?
Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.
3. 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.
4. How to Find the GCF of 8804 and 8811?
Answer:
Greatest Common Factor of 8804 and 8811 = 1
Step 1: Find the prime factorization of 8804
8804 = 2 x 2 x 31 x 71
Step 2: Find the prime factorization of 8811
8811 = 3 x 3 x 11 x 89
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 8804 and 8811 is 1