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 8808, 8810 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8808 and 8810 is 2.
GCF(8808,8810) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8808
2 | 8808 |
2 | 4404 |
2 | 2202 |
3 | 1101 |
367 | 367 |
1 |
Prime factors of 8808 are 2,3,367. Prime factorization of 8808 in exponential form is:
8808 = 23×31×3671
Prime Factorization of 8810
2 | 8810 |
5 | 4405 |
881 | 881 |
1 |
Prime factors of 8810 are 2,5,881. Prime factorization of 8810 in exponential form is:
8810 = 21×51×8811
∴ So by taking common prime factors GCF of 8808 and 8810 is 2
Factors of 8808
List of positive integer factors of 8808 that divides 8808 without a remainder.
1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808
Factors of 8810
List of positive integer factors of 8810 that divides 8810 without a remainder.
1,2,5,10,881,1762,4405,8810
Greatest Common Factor
We found the factors and prime factorization of 8808 and 8810. The biggest common factor number is the GCF number.
So the greatest common factor 8808 and 8810 is 2.
Also check out the Least Common Multiple of 8808 and 8810
(i) The GCF of 8808 and 8810 is associative
GCF of 8808 and 8810 = GCF of 8810 and 8808
1. What is the GCF of 8808 and 8810?
Answer: GCF of 8808 and 8810 is 2.
2. What are the Factors of 8808?
Answer: Factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808. There are 16 integers that are factors of 8808. The greatest factor of 8808 is 8808.
3. What are the Factors of 8810?
Answer: Factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810. There are 8 integers that are factors of 8810. The greatest factor of 8810 is 8810.
4. How to Find the GCF of 8808 and 8810?
Answer:
Greatest Common Factor of 8808 and 8810 = 2
Step 1: Find the prime factorization of 8808
8808 = 2 x 2 x 2 x 3 x 367
Step 2: Find the prime factorization of 8810
8810 = 2 x 5 x 881
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8808 and 8810 is 2