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 2200, 2203 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2200 and 2203 is 1.
GCF(2200,2203) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2200
2 | 2200 |
2 | 1100 |
2 | 550 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 2200 are 2,5,11. Prime factorization of 2200 in exponential form is:
2200 = 23×52×111
Prime Factorization of 2203
2203 | 2203 |
1 |
Prime factors of 2203 are 2203. Prime factorization of 2203 in exponential form is:
2203 = 22031
∴ So by taking common prime factors GCF of 2200 and 2203 is 1
Factors of 2200
List of positive integer factors of 2200 that divides 2200 without a remainder.
1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Factors of 2203
List of positive integer factors of 2203 that divides 2203 without a remainder.
1,2203
Greatest Common Factor
We found the factors and prime factorization of 2200 and 2203. The biggest common factor number is the GCF number.
So the greatest common factor 2200 and 2203 is 1.
Also check out the Least Common Multiple of 2200 and 2203
(i) The GCF of 2200 and 2203 is associative
GCF of 2200 and 2203 = GCF of 2203 and 2200
1. What is the GCF of 2200 and 2203?
Answer: GCF of 2200 and 2203 is 1.
2. What are the Factors of 2200?
Answer: Factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200. There are 24 integers that are factors of 2200. The greatest factor of 2200 is 2200.
3. What are the Factors of 2203?
Answer: Factors of 2203 are 1, 2203. There are 2 integers that are factors of 2203. The greatest factor of 2203 is 2203.
4. How to Find the GCF of 2200 and 2203?
Answer:
Greatest Common Factor of 2200 and 2203 = 1
Step 1: Find the prime factorization of 2200
2200 = 2 x 2 x 2 x 5 x 5 x 11
Step 2: Find the prime factorization of 2203
2203 = 2203
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2200 and 2203 is 1