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 816, 817 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 816 and 817 is 1.
GCF(816,817) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 816
2 | 816 |
2 | 408 |
2 | 204 |
2 | 102 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 816 are 2,3,17. Prime factorization of 816 in exponential form is:
816 = 24×31×171
Prime Factorization of 817
19 | 817 |
43 | 43 |
1 |
Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:
817 = 191×431
∴ So by taking common prime factors GCF of 816 and 817 is 1
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors and prime factorization of 816 and 817. The biggest common factor number is the GCF number.
So the greatest common factor 816 and 817 is 1.
Also check out the Least Common Multiple of 816 and 817
(i) The GCF of 816 and 817 is associative
GCF of 816 and 817 = GCF of 817 and 816
1. What is the GCF of 816 and 817?
Answer: GCF of 816 and 817 is 1.
2. What are the Factors of 816?
Answer: Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. There are 20 integers that are factors of 816. The greatest factor of 816 is 816.
3. What are the Factors of 817?
Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.
4. How to Find the GCF of 816 and 817?
Answer:
Greatest Common Factor of 816 and 817 = 1
Step 1: Find the prime factorization of 816
816 = 2 x 2 x 2 x 2 x 3 x 17
Step 2: Find the prime factorization of 817
817 = 19 x 43
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 816 and 817 is 1