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 1837, 1843 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1837 and 1843 is 1.
GCF(1837,1843) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1837
11 | 1837 |
167 | 167 |
1 |
Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:
1837 = 111×1671
Prime Factorization of 1843
19 | 1843 |
97 | 97 |
1 |
Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:
1843 = 191×971
∴ So by taking common prime factors GCF of 1837 and 1843 is 1
Factors of 1837
List of positive integer factors of 1837 that divides 1837 without a remainder.
1,11,167,1837
Factors of 1843
List of positive integer factors of 1843 that divides 1843 without a remainder.
1,19,97,1843
Greatest Common Factor
We found the factors and prime factorization of 1837 and 1843. The biggest common factor number is the GCF number.
So the greatest common factor 1837 and 1843 is 1.
Also check out the Least Common Multiple of 1837 and 1843
(i) The GCF of 1837 and 1843 is associative
GCF of 1837 and 1843 = GCF of 1843 and 1837
1. What is the GCF of 1837 and 1843?
Answer: GCF of 1837 and 1843 is 1.
2. What are the Factors of 1837?
Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.
3. What are the Factors of 1843?
Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.
4. How to Find the GCF of 1837 and 1843?
Answer:
Greatest Common Factor of 1837 and 1843 = 1
Step 1: Find the prime factorization of 1837
1837 = 11 x 167
Step 2: Find the prime factorization of 1843
1843 = 19 x 97
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 1837 and 1843 is 1