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 1802, 1806 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1802 and 1806 is 2.
GCF(1802,1806) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1802
2 | 1802 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 1802 are 2,17,53. Prime factorization of 1802 in exponential form is:
1802 = 21×171×531
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
∴ So by taking common prime factors GCF of 1802 and 1806 is 2
Factors of 1802
List of positive integer factors of 1802 that divides 1802 without a remainder.
1,2,17,34,53,106,901,1802
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
Greatest Common Factor
We found the factors and prime factorization of 1802 and 1806. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1806 is 2.
Also check out the Least Common Multiple of 1802 and 1806
(i) The GCF of 1802 and 1806 is associative
GCF of 1802 and 1806 = GCF of 1806 and 1802
1. What is the GCF of 1802 and 1806?
Answer: GCF of 1802 and 1806 is 2.
2. What are the Factors of 1802?
Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.
3. 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.
4. How to Find the GCF of 1802 and 1806?
Answer:
Greatest Common Factor of 1802 and 1806 = 2
Step 1: Find the prime factorization of 1802
1802 = 2 x 17 x 53
Step 2: Find the prime factorization of 1806
1806 = 2 x 3 x 7 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1802 and 1806 is 2