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, 1851 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1846 and 1851 is 1.
GCF(1846,1851) = 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 1851
3 | 1851 |
617 | 617 |
1 |
Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:
1851 = 31×6171
∴ So by taking common prime factors GCF of 1846 and 1851 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 1851
List of positive integer factors of 1851 that divides 1851 without a remainder.
1,3,617,1851
Greatest Common Factor
We found the factors and prime factorization of 1846 and 1851. The biggest common factor number is the GCF number.
So the greatest common factor 1846 and 1851 is 1.
Also check out the Least Common Multiple of 1846 and 1851
(i) The GCF of 1846 and 1851 is associative
GCF of 1846 and 1851 = GCF of 1851 and 1846
1. What is the GCF of 1846 and 1851?
Answer: GCF of 1846 and 1851 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 1851?
Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.
4. How to Find the GCF of 1846 and 1851?
Answer:
Greatest Common Factor of 1846 and 1851 = 1
Step 1: Find the prime factorization of 1846
1846 = 2 x 13 x 71
Step 2: Find the prime factorization of 1851
1851 = 3 x 617
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 1851 is 1