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 2436, 2438 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2436 and 2438 is 2.
GCF(2436,2438) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2436
2 | 2436 |
2 | 1218 |
3 | 609 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 2436 are 2,3,7,29. Prime factorization of 2436 in exponential form is:
2436 = 22×31×71×291
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
∴ So by taking common prime factors GCF of 2436 and 2438 is 2
Factors of 2436
List of positive integer factors of 2436 that divides 2436 without a remainder.
1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Factors of 2438
List of positive integer factors of 2438 that divides 2438 without a remainder.
1,2,23,46,53,106,1219,2438
Greatest Common Factor
We found the factors and prime factorization of 2436 and 2438. The biggest common factor number is the GCF number.
So the greatest common factor 2436 and 2438 is 2.
Also check out the Least Common Multiple of 2436 and 2438
(i) The GCF of 2436 and 2438 is associative
GCF of 2436 and 2438 = GCF of 2438 and 2436
1. What is the GCF of 2436 and 2438?
Answer: GCF of 2436 and 2438 is 2.
2. What are the Factors of 2436?
Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.
3. 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.
4. How to Find the GCF of 2436 and 2438?
Answer:
Greatest Common Factor of 2436 and 2438 = 2
Step 1: Find the prime factorization of 2436
2436 = 2 x 2 x 3 x 7 x 29
Step 2: Find the prime factorization of 2438
2438 = 2 x 23 x 53
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 2436 and 2438 is 2