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 2246, 2250 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2246 and 2250 is 2.
GCF(2246,2250) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2246
2 | 2246 |
1123 | 1123 |
1 |
Prime factors of 2246 are 2,1123. Prime factorization of 2246 in exponential form is:
2246 = 21×11231
Prime Factorization of 2250
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2250 are 2,3,5. Prime factorization of 2250 in exponential form is:
2250 = 21×32×53
∴ So by taking common prime factors GCF of 2246 and 2250 is 2
Factors of 2246
List of positive integer factors of 2246 that divides 2246 without a remainder.
1,2,1123,2246
Factors of 2250
List of positive integer factors of 2250 that divides 2250 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Greatest Common Factor
We found the factors and prime factorization of 2246 and 2250. The biggest common factor number is the GCF number.
So the greatest common factor 2246 and 2250 is 2.
Also check out the Least Common Multiple of 2246 and 2250
(i) The GCF of 2246 and 2250 is associative
GCF of 2246 and 2250 = GCF of 2250 and 2246
1. What is the GCF of 2246 and 2250?
Answer: GCF of 2246 and 2250 is 2.
2. What are the Factors of 2246?
Answer: Factors of 2246 are 1, 2, 1123, 2246. There are 4 integers that are factors of 2246. The greatest factor of 2246 is 2246.
3. What are the Factors of 2250?
Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.
4. How to Find the GCF of 2246 and 2250?
Answer:
Greatest Common Factor of 2246 and 2250 = 2
Step 1: Find the prime factorization of 2246
2246 = 2 x 1123
Step 2: Find the prime factorization of 2250
2250 = 2 x 3 x 3 x 5 x 5 x 5
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 2246 and 2250 is 2