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 1839, 1841 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1839 and 1841 is 1.
GCF(1839,1841) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1839
3 | 1839 |
613 | 613 |
1 |
Prime factors of 1839 are 3,613. Prime factorization of 1839 in exponential form is:
1839 = 31×6131
Prime Factorization of 1841
7 | 1841 |
263 | 263 |
1 |
Prime factors of 1841 are 7,263. Prime factorization of 1841 in exponential form is:
1841 = 71×2631
∴ So by taking common prime factors GCF of 1839 and 1841 is 1
Factors of 1839
List of positive integer factors of 1839 that divides 1839 without a remainder.
1,3,613,1839
Factors of 1841
List of positive integer factors of 1841 that divides 1841 without a remainder.
1,7,263,1841
Greatest Common Factor
We found the factors and prime factorization of 1839 and 1841. The biggest common factor number is the GCF number.
So the greatest common factor 1839 and 1841 is 1.
Also check out the Least Common Multiple of 1839 and 1841
(i) The GCF of 1839 and 1841 is associative
GCF of 1839 and 1841 = GCF of 1841 and 1839
1. What is the GCF of 1839 and 1841?
Answer: GCF of 1839 and 1841 is 1.
2. What are the Factors of 1839?
Answer: Factors of 1839 are 1, 3, 613, 1839. There are 4 integers that are factors of 1839. The greatest factor of 1839 is 1839.
3. What are the Factors of 1841?
Answer: Factors of 1841 are 1, 7, 263, 1841. There are 4 integers that are factors of 1841. The greatest factor of 1841 is 1841.
4. How to Find the GCF of 1839 and 1841?
Answer:
Greatest Common Factor of 1839 and 1841 = 1
Step 1: Find the prime factorization of 1839
1839 = 3 x 613
Step 2: Find the prime factorization of 1841
1841 = 7 x 263
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 1839 and 1841 is 1