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 2440, 2446 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2440 and 2446 is 2.
GCF(2440,2446) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2440
2 | 2440 |
2 | 1220 |
2 | 610 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 2440 are 2,5,61. Prime factorization of 2440 in exponential form is:
2440 = 23×51×611
Prime Factorization of 2446
2 | 2446 |
1223 | 1223 |
1 |
Prime factors of 2446 are 2,1223. Prime factorization of 2446 in exponential form is:
2446 = 21×12231
∴ So by taking common prime factors GCF of 2440 and 2446 is 2
Factors of 2440
List of positive integer factors of 2440 that divides 2440 without a remainder.
1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440
Factors of 2446
List of positive integer factors of 2446 that divides 2446 without a remainder.
1,2,1223,2446
Greatest Common Factor
We found the factors and prime factorization of 2440 and 2446. The biggest common factor number is the GCF number.
So the greatest common factor 2440 and 2446 is 2.
Also check out the Least Common Multiple of 2440 and 2446
(i) The GCF of 2440 and 2446 is associative
GCF of 2440 and 2446 = GCF of 2446 and 2440
1. What is the GCF of 2440 and 2446?
Answer: GCF of 2440 and 2446 is 2.
2. What are the Factors of 2440?
Answer: Factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440. There are 16 integers that are factors of 2440. The greatest factor of 2440 is 2440.
3. What are the Factors of 2446?
Answer: Factors of 2446 are 1, 2, 1223, 2446. There are 4 integers that are factors of 2446. The greatest factor of 2446 is 2446.
4. How to Find the GCF of 2440 and 2446?
Answer:
Greatest Common Factor of 2440 and 2446 = 2
Step 1: Find the prime factorization of 2440
2440 = 2 x 2 x 2 x 5 x 61
Step 2: Find the prime factorization of 2446
2446 = 2 x 1223
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 2440 and 2446 is 2