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 2446, 2450 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2446 and 2450 is 2.
GCF(2446,2450) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2450
2 | 2450 |
5 | 1225 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 2450 are 2,5,7. Prime factorization of 2450 in exponential form is:
2450 = 21×52×72
∴ So by taking common prime factors GCF of 2446 and 2450 is 2
Factors of 2446
List of positive integer factors of 2446 that divides 2446 without a remainder.
1,2,1223,2446
Factors of 2450
List of positive integer factors of 2450 that divides 2450 without a remainder.
1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Greatest Common Factor
We found the factors and prime factorization of 2446 and 2450. The biggest common factor number is the GCF number.
So the greatest common factor 2446 and 2450 is 2.
Also check out the Least Common Multiple of 2446 and 2450
(i) The GCF of 2446 and 2450 is associative
GCF of 2446 and 2450 = GCF of 2450 and 2446
1. What is the GCF of 2446 and 2450?
Answer: GCF of 2446 and 2450 is 2.
2. 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.
3. What are the Factors of 2450?
Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.
4. How to Find the GCF of 2446 and 2450?
Answer:
Greatest Common Factor of 2446 and 2450 = 2
Step 1: Find the prime factorization of 2446
2446 = 2 x 1223
Step 2: Find the prime factorization of 2450
2450 = 2 x 5 x 5 x 7 x 7
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 2446 and 2450 is 2