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 8816, 8819 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8816 and 8819 is 1.
GCF(8816,8819) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8819
8819 | 8819 |
1 |
Prime factors of 8819 are 8819. Prime factorization of 8819 in exponential form is:
8819 = 88191
∴ So by taking common prime factors GCF of 8816 and 8819 is 1
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
Factors of 8819
List of positive integer factors of 8819 that divides 8819 without a remainder.
1,8819
Greatest Common Factor
We found the factors and prime factorization of 8816 and 8819. The biggest common factor number is the GCF number.
So the greatest common factor 8816 and 8819 is 1.
Also check out the Least Common Multiple of 8816 and 8819
(i) The GCF of 8816 and 8819 is associative
GCF of 8816 and 8819 = GCF of 8819 and 8816
1. What is the GCF of 8816 and 8819?
Answer: GCF of 8816 and 8819 is 1.
2. 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.
3. What are the Factors of 8819?
Answer: Factors of 8819 are 1, 8819. There are 2 integers that are factors of 8819. The greatest factor of 8819 is 8819.
4. How to Find the GCF of 8816 and 8819?
Answer:
Greatest Common Factor of 8816 and 8819 = 1
Step 1: Find the prime factorization of 8816
8816 = 2 x 2 x 2 x 2 x 19 x 29
Step 2: Find the prime factorization of 8819
8819 = 8819
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 8816 and 8819 is 1