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, 1844 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1840 and 1844 is 4.
GCF(1840,1844) = 4
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 1844
2 | 1844 |
2 | 922 |
461 | 461 |
1 |
Prime factors of 1844 are 2,461. Prime factorization of 1844 in exponential form is:
1844 = 22×4611
∴ So by taking common prime factors GCF of 1840 and 1844 is 4
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 1844
List of positive integer factors of 1844 that divides 1844 without a remainder.
1,2,4,461,922,1844
Greatest Common Factor
We found the factors and prime factorization of 1840 and 1844. The biggest common factor number is the GCF number.
So the greatest common factor 1840 and 1844 is 4.
Also check out the Least Common Multiple of 1840 and 1844
(i) The GCF of 1840 and 1844 is associative
GCF of 1840 and 1844 = GCF of 1844 and 1840
1. What is the GCF of 1840 and 1844?
Answer: GCF of 1840 and 1844 is 4.
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 1844?
Answer: Factors of 1844 are 1, 2, 4, 461, 922, 1844. There are 6 integers that are factors of 1844. The greatest factor of 1844 is 1844.
4. How to Find the GCF of 1840 and 1844?
Answer:
Greatest Common Factor of 1840 and 1844 = 4
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 1844
1844 = 2 x 2 x 461
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1840 and 1844 is 4