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 1850, 1856 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1850 and 1856 is 2.
GCF(1850,1856) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1850
2 | 1850 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 1850 are 2,5,37. Prime factorization of 1850 in exponential form is:
1850 = 21×52×371
Prime Factorization of 1856
2 | 1856 |
2 | 928 |
2 | 464 |
2 | 232 |
2 | 116 |
2 | 58 |
29 | 29 |
1 |
Prime factors of 1856 are 2,29. Prime factorization of 1856 in exponential form is:
1856 = 26×291
∴ So by taking common prime factors GCF of 1850 and 1856 is 2
Factors of 1850
List of positive integer factors of 1850 that divides 1850 without a remainder.
1,2,5,10,25,37,50,74,185,370,925,1850
Factors of 1856
List of positive integer factors of 1856 that divides 1856 without a remainder.
1,2,4,8,16,29,32,58,64,116,232,464,928,1856
Greatest Common Factor
We found the factors and prime factorization of 1850 and 1856. The biggest common factor number is the GCF number.
So the greatest common factor 1850 and 1856 is 2.
Also check out the Least Common Multiple of 1850 and 1856
(i) The GCF of 1850 and 1856 is associative
GCF of 1850 and 1856 = GCF of 1856 and 1850
1. What is the GCF of 1850 and 1856?
Answer: GCF of 1850 and 1856 is 2.
2. What are the Factors of 1850?
Answer: Factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850. There are 12 integers that are factors of 1850. The greatest factor of 1850 is 1850.
3. What are the Factors of 1856?
Answer: Factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856. There are 14 integers that are factors of 1856. The greatest factor of 1856 is 1856.
4. How to Find the GCF of 1850 and 1856?
Answer:
Greatest Common Factor of 1850 and 1856 = 2
Step 1: Find the prime factorization of 1850
1850 = 2 x 5 x 5 x 37
Step 2: Find the prime factorization of 1856
1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29
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 1850 and 1856 is 2