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 801, 804 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 801 and 804 is 3.
GCF(801,804) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 801
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:
801 = 32×891
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
∴ So by taking common prime factors GCF of 801 and 804 is 3
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
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
Greatest Common Factor
We found the factors and prime factorization of 801 and 804. The biggest common factor number is the GCF number.
So the greatest common factor 801 and 804 is 3.
Also check out the Least Common Multiple of 801 and 804
(i) The GCF of 801 and 804 is associative
GCF of 801 and 804 = GCF of 804 and 801
1. What is the GCF of 801 and 804?
Answer: GCF of 801 and 804 is 3.
2. What are the Factors of 801?
Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.
3. 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.
4. How to Find the GCF of 801 and 804?
Answer:
Greatest Common Factor of 801 and 804 = 3
Step 1: Find the prime factorization of 801
801 = 3 x 3 x 89
Step 2: Find the prime factorization of 804
804 = 2 x 2 x 3 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 801 and 804 is 3