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 1840, 1842 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1840 and 1842 is 2.
GCF(1840,1842) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1842
2 | 1842 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 1842 are 2,3,307. Prime factorization of 1842 in exponential form is:
1842 = 21×31×3071
∴ So by taking common prime factors GCF of 1840 and 1842 is 2
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
Factors of 1842
List of positive integer factors of 1842 that divides 1842 without a remainder.
1,2,3,6,307,614,921,1842
Greatest Common Factor
We found the factors and prime factorization of 1840 and 1842. The biggest common factor number is the GCF number.
So the greatest common factor 1840 and 1842 is 2.
Also check out the Least Common Multiple of 1840 and 1842
(i) The GCF of 1840 and 1842 is associative
GCF of 1840 and 1842 = GCF of 1842 and 1840
1. What is the GCF of 1840 and 1842?
Answer: GCF of 1840 and 1842 is 2.
2. 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.
3. What are the Factors of 1842?
Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.
4. How to Find the GCF of 1840 and 1842?
Answer:
Greatest Common Factor of 1840 and 1842 = 2
Step 1: Find the prime factorization of 1840
1840 = 2 x 2 x 2 x 2 x 5 x 23
Step 2: Find the prime factorization of 1842
1842 = 2 x 3 x 307
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1840 and 1842 is 2