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 1833, 1840 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1833 and 1840 is 1.
GCF(1833,1840) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1833
3 | 1833 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 1833 are 3,13,47. Prime factorization of 1833 in exponential form is:
1833 = 31×131×471
Prime Factorization of 1840
2 | 1840 |
2 | 920 |
2 | 460 |
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 1840 are 2,5,23. Prime factorization of 1840 in exponential form is:
1840 = 24×51×231
∴ So by taking common prime factors GCF of 1833 and 1840 is 1
Factors of 1833
List of positive integer factors of 1833 that divides 1833 without a remainder.
1,3,13,39,47,141,611,1833
Factors of 1840
List of positive integer factors of 1840 that divides 1840 without a remainder.
1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors and prime factorization of 1833 and 1840. The biggest common factor number is the GCF number.
So the greatest common factor 1833 and 1840 is 1.
Also check out the Least Common Multiple of 1833 and 1840
(i) The GCF of 1833 and 1840 is associative
GCF of 1833 and 1840 = GCF of 1840 and 1833
1. What is the GCF of 1833 and 1840?
Answer: GCF of 1833 and 1840 is 1.
2. What are the Factors of 1833?
Answer: Factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833. There are 8 integers that are factors of 1833. The greatest factor of 1833 is 1833.
3. What are the Factors of 1840?
Answer: Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. There are 20 integers that are factors of 1840. The greatest factor of 1840 is 1840.
4. How to Find the GCF of 1833 and 1840?
Answer:
Greatest Common Factor of 1833 and 1840 = 1
Step 1: Find the prime factorization of 1833
1833 = 3 x 13 x 47
Step 2: Find the prime factorization of 1840
1840 = 2 x 2 x 2 x 2 x 5 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1833 and 1840 is 1