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 1846, 1849 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1846 and 1849 is 1.
GCF(1846,1849) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1846
2 | 1846 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 1846 are 2,13,71. Prime factorization of 1846 in exponential form is:
1846 = 21×131×711
Prime Factorization of 1849
43 | 1849 |
43 | 43 |
1 |
Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:
1849 = 432
∴ So by taking common prime factors GCF of 1846 and 1849 is 1
Factors of 1846
List of positive integer factors of 1846 that divides 1846 without a remainder.
1,2,13,26,71,142,923,1846
Factors of 1849
List of positive integer factors of 1849 that divides 1849 without a remainder.
1,43,1849
Greatest Common Factor
We found the factors and prime factorization of 1846 and 1849. The biggest common factor number is the GCF number.
So the greatest common factor 1846 and 1849 is 1.
Also check out the Least Common Multiple of 1846 and 1849
(i) The GCF of 1846 and 1849 is associative
GCF of 1846 and 1849 = GCF of 1849 and 1846
1. What is the GCF of 1846 and 1849?
Answer: GCF of 1846 and 1849 is 1.
2. What are the Factors of 1846?
Answer: Factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846. There are 8 integers that are factors of 1846. The greatest factor of 1846 is 1846.
3. What are the Factors of 1849?
Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.
4. How to Find the GCF of 1846 and 1849?
Answer:
Greatest Common Factor of 1846 and 1849 = 1
Step 1: Find the prime factorization of 1846
1846 = 2 x 13 x 71
Step 2: Find the prime factorization of 1849
1849 = 43 x 43
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 1846 and 1849 is 1