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 804, 810 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 804 and 810 is 6.
GCF(804,810) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 804
2 | 804 |
2 | 402 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 804 are 2,3,67. Prime factorization of 804 in exponential form is:
804 = 22×31×671
Prime Factorization of 810
2 | 810 |
3 | 405 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 810 are 2,3,5. Prime factorization of 810 in exponential form is:
810 = 21×34×51
∴ So by taking common prime factors GCF of 804 and 810 is 6
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors and prime factorization of 804 and 810. The biggest common factor number is the GCF number.
So the greatest common factor 804 and 810 is 6.
Also check out the Least Common Multiple of 804 and 810
(i) The GCF of 804 and 810 is associative
GCF of 804 and 810 = GCF of 810 and 804
1. What is the GCF of 804 and 810?
Answer: GCF of 804 and 810 is 6.
2. What are the Factors of 804?
Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.
3. What are the Factors of 810?
Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.
4. How to Find the GCF of 804 and 810?
Answer:
Greatest Common Factor of 804 and 810 = 6
Step 1: Find the prime factorization of 804
804 = 2 x 2 x 3 x 67
Step 2: Find the prime factorization of 810
810 = 2 x 3 x 3 x 3 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 804 and 810 is 6