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 8810, 8816 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8810 and 8816 is 2.
GCF(8810,8816) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8816
2 | 8816 |
2 | 4408 |
2 | 2204 |
2 | 1102 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 8816 are 2,19,29. Prime factorization of 8816 in exponential form is:
8816 = 24×191×291
∴ So by taking common prime factors GCF of 8810 and 8816 is 2
Factors of 8810
List of positive integer factors of 8810 that divides 8810 without a remainder.
1,2,5,10,881,1762,4405,8810
Factors of 8816
List of positive integer factors of 8816 that divides 8816 without a remainder.
1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors and prime factorization of 8810 and 8816. The biggest common factor number is the GCF number.
So the greatest common factor 8810 and 8816 is 2.
Also check out the Least Common Multiple of 8810 and 8816
(i) The GCF of 8810 and 8816 is associative
GCF of 8810 and 8816 = GCF of 8816 and 8810
1. What is the GCF of 8810 and 8816?
Answer: GCF of 8810 and 8816 is 2.
2. 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.
3. What are the Factors of 8816?
Answer: Factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816. There are 20 integers that are factors of 8816. The greatest factor of 8816 is 8816.
4. How to Find the GCF of 8810 and 8816?
Answer:
Greatest Common Factor of 8810 and 8816 = 2
Step 1: Find the prime factorization of 8810
8810 = 2 x 5 x 881
Step 2: Find the prime factorization of 8816
8816 = 2 x 2 x 2 x 2 x 19 x 29
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 8810 and 8816 is 2