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 2439, 2445 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2439 and 2445 is 3.
GCF(2439,2445) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2439
3 | 2439 |
3 | 813 |
271 | 271 |
1 |
Prime factors of 2439 are 3,271. Prime factorization of 2439 in exponential form is:
2439 = 32×2711
Prime Factorization of 2445
3 | 2445 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 2445 are 3,5,163. Prime factorization of 2445 in exponential form is:
2445 = 31×51×1631
∴ So by taking common prime factors GCF of 2439 and 2445 is 3
Factors of 2439
List of positive integer factors of 2439 that divides 2439 without a remainder.
1,3,9,271,813,2439
Factors of 2445
List of positive integer factors of 2445 that divides 2445 without a remainder.
1,3,5,15,163,489,815,2445
Greatest Common Factor
We found the factors and prime factorization of 2439 and 2445. The biggest common factor number is the GCF number.
So the greatest common factor 2439 and 2445 is 3.
Also check out the Least Common Multiple of 2439 and 2445
(i) The GCF of 2439 and 2445 is associative
GCF of 2439 and 2445 = GCF of 2445 and 2439
1. What is the GCF of 2439 and 2445?
Answer: GCF of 2439 and 2445 is 3.
2. What are the Factors of 2439?
Answer: Factors of 2439 are 1, 3, 9, 271, 813, 2439. There are 6 integers that are factors of 2439. The greatest factor of 2439 is 2439.
3. What are the Factors of 2445?
Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.
4. How to Find the GCF of 2439 and 2445?
Answer:
Greatest Common Factor of 2439 and 2445 = 3
Step 1: Find the prime factorization of 2439
2439 = 3 x 3 x 271
Step 2: Find the prime factorization of 2445
2445 = 3 x 5 x 163
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2439 and 2445 is 3