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 1806, 1812 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1806 and 1812 is 6.
GCF(1806,1812) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1806
2 | 1806 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 1806 are 2,3,7,43. Prime factorization of 1806 in exponential form is:
1806 = 21×31×71×431
Prime Factorization of 1812
2 | 1812 |
2 | 906 |
3 | 453 |
151 | 151 |
1 |
Prime factors of 1812 are 2,3,151. Prime factorization of 1812 in exponential form is:
1812 = 22×31×1511
∴ So by taking common prime factors GCF of 1806 and 1812 is 6
Factors of 1806
List of positive integer factors of 1806 that divides 1806 without a remainder.
1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Factors of 1812
List of positive integer factors of 1812 that divides 1812 without a remainder.
1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors and prime factorization of 1806 and 1812. The biggest common factor number is the GCF number.
So the greatest common factor 1806 and 1812 is 6.
Also check out the Least Common Multiple of 1806 and 1812
(i) The GCF of 1806 and 1812 is associative
GCF of 1806 and 1812 = GCF of 1812 and 1806
1. What is the GCF of 1806 and 1812?
Answer: GCF of 1806 and 1812 is 6.
2. What are the Factors of 1806?
Answer: Factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806. There are 16 integers that are factors of 1806. The greatest factor of 1806 is 1806.
3. What are the Factors of 1812?
Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.
4. How to Find the GCF of 1806 and 1812?
Answer:
Greatest Common Factor of 1806 and 1812 = 6
Step 1: Find the prime factorization of 1806
1806 = 2 x 3 x 7 x 43
Step 2: Find the prime factorization of 1812
1812 = 2 x 2 x 3 x 151
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 1806 and 1812 is 6