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 2438, 2443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2438 and 2443 is 1.
GCF(2438,2443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2438
2 | 2438 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 2438 are 2,23,53. Prime factorization of 2438 in exponential form is:
2438 = 21×231×531
Prime Factorization of 2443
7 | 2443 |
349 | 349 |
1 |
Prime factors of 2443 are 7,349. Prime factorization of 2443 in exponential form is:
2443 = 71×3491
∴ So by taking common prime factors GCF of 2438 and 2443 is 1
Factors of 2438
List of positive integer factors of 2438 that divides 2438 without a remainder.
1,2,23,46,53,106,1219,2438
Factors of 2443
List of positive integer factors of 2443 that divides 2443 without a remainder.
1,7,349,2443
Greatest Common Factor
We found the factors and prime factorization of 2438 and 2443. The biggest common factor number is the GCF number.
So the greatest common factor 2438 and 2443 is 1.
Also check out the Least Common Multiple of 2438 and 2443
(i) The GCF of 2438 and 2443 is associative
GCF of 2438 and 2443 = GCF of 2443 and 2438
1. What is the GCF of 2438 and 2443?
Answer: GCF of 2438 and 2443 is 1.
2. What are the Factors of 2438?
Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.
3. What are the Factors of 2443?
Answer: Factors of 2443 are 1, 7, 349, 2443. There are 4 integers that are factors of 2443. The greatest factor of 2443 is 2443.
4. How to Find the GCF of 2438 and 2443?
Answer:
Greatest Common Factor of 2438 and 2443 = 1
Step 1: Find the prime factorization of 2438
2438 = 2 x 23 x 53
Step 2: Find the prime factorization of 2443
2443 = 7 x 349
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 2438 and 2443 is 1