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 1836, 1838 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1836 and 1838 is 2.
GCF(1836,1838) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1836
2 | 1836 |
2 | 918 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 1836 are 2,3,17. Prime factorization of 1836 in exponential form is:
1836 = 22×33×171
Prime Factorization of 1838
2 | 1838 |
919 | 919 |
1 |
Prime factors of 1838 are 2,919. Prime factorization of 1838 in exponential form is:
1838 = 21×9191
∴ So by taking common prime factors GCF of 1836 and 1838 is 2
Factors of 1836
List of positive integer factors of 1836 that divides 1836 without a remainder.
1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Greatest Common Factor
We found the factors and prime factorization of 1836 and 1838. The biggest common factor number is the GCF number.
So the greatest common factor 1836 and 1838 is 2.
Also check out the Least Common Multiple of 1836 and 1838
(i) The GCF of 1836 and 1838 is associative
GCF of 1836 and 1838 = GCF of 1838 and 1836
1. What is the GCF of 1836 and 1838?
Answer: GCF of 1836 and 1838 is 2.
2. What are the Factors of 1836?
Answer: Factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836. There are 24 integers that are factors of 1836. The greatest factor of 1836 is 1836.
3. What are the Factors of 1838?
Answer: Factors of 1838 are 1, 2, 919, 1838. There are 4 integers that are factors of 1838. The greatest factor of 1838 is 1838.
4. How to Find the GCF of 1836 and 1838?
Answer:
Greatest Common Factor of 1836 and 1838 = 2
Step 1: Find the prime factorization of 1836
1836 = 2 x 2 x 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 1838
1838 = 2 x 919
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 1836 and 1838 is 2