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, 2444 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2436 and 2444 is 4.
GCF(2436,2444) = 4
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 2444
2 | 2444 |
2 | 1222 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 2444 are 2,13,47. Prime factorization of 2444 in exponential form is:
2444 = 22×131×471
∴ So by taking common prime factors GCF of 2436 and 2444 is 4
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 2444
List of positive integer factors of 2444 that divides 2444 without a remainder.
1,2,4,13,26,47,52,94,188,611,1222,2444
Greatest Common Factor
We found the factors and prime factorization of 2436 and 2444. The biggest common factor number is the GCF number.
So the greatest common factor 2436 and 2444 is 4.
Also check out the Least Common Multiple of 2436 and 2444
(i) The GCF of 2436 and 2444 is associative
GCF of 2436 and 2444 = GCF of 2444 and 2436
1. What is the GCF of 2436 and 2444?
Answer: GCF of 2436 and 2444 is 4.
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 2444?
Answer: Factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444. There are 12 integers that are factors of 2444. The greatest factor of 2444 is 2444.
4. How to Find the GCF of 2436 and 2444?
Answer:
Greatest Common Factor of 2436 and 2444 = 4
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 2444
2444 = 2 x 2 x 13 x 47
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 2436 and 2444 is 4