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 2344, 2350 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2344 and 2350 is 2.
GCF(2344,2350) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2344
2 | 2344 |
2 | 1172 |
2 | 586 |
293 | 293 |
1 |
Prime factors of 2344 are 2,293. Prime factorization of 2344 in exponential form is:
2344 = 23×2931
Prime Factorization of 2350
2 | 2350 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 2350 are 2,5,47. Prime factorization of 2350 in exponential form is:
2350 = 21×52×471
∴ So by taking common prime factors GCF of 2344 and 2350 is 2
Factors of 2344
List of positive integer factors of 2344 that divides 2344 without a remainder.
1,2,4,8,293,586,1172,2344
Factors of 2350
List of positive integer factors of 2350 that divides 2350 without a remainder.
1,2,5,10,25,47,50,94,235,470,1175,2350
Greatest Common Factor
We found the factors and prime factorization of 2344 and 2350. The biggest common factor number is the GCF number.
So the greatest common factor 2344 and 2350 is 2.
Also check out the Least Common Multiple of 2344 and 2350
(i) The GCF of 2344 and 2350 is associative
GCF of 2344 and 2350 = GCF of 2350 and 2344
1. What is the GCF of 2344 and 2350?
Answer: GCF of 2344 and 2350 is 2.
2. What are the Factors of 2344?
Answer: Factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344. There are 8 integers that are factors of 2344. The greatest factor of 2344 is 2344.
3. What are the Factors of 2350?
Answer: Factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350. There are 12 integers that are factors of 2350. The greatest factor of 2350 is 2350.
4. How to Find the GCF of 2344 and 2350?
Answer:
Greatest Common Factor of 2344 and 2350 = 2
Step 1: Find the prime factorization of 2344
2344 = 2 x 2 x 2 x 293
Step 2: Find the prime factorization of 2350
2350 = 2 x 5 x 5 x 47
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 2344 and 2350 is 2