# Greatest Common Factor of 1200 and 1203

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1200, 1203 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1200 and 1203 is 3.

GCF(1200,1203) = 3

## GCF of 1200 and 1203

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

### Greatest Common Factor of 1200 and 1203 by Prime factorization method

Prime Factorization of 1200

 2 1200 2 600 2 300 2 150 3 75 5 25 5 5 1

Prime factors of 1200 are 2,3,5. Prime factorization of 1200 in exponential form is:

1200 = 24×31×52

Prime Factorization of 1203

 3 1203 401 401 1

Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:

1203 = 31×4011

∴ So by taking common prime factors GCF of 1200 and 1203 is 3

### Greatest Common Factor of 1200 and 1203 by matching factors method

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1,3,401,1203

Greatest Common Factor

We found the factors and prime factorization of 1200 and 1203. The biggest common factor number is the GCF number.
So the greatest common factor 1200 and 1203 is 3.

Also check out the Least Common Multiple of 1200 and 1203

### Properties of GCF 1200 and 1203

(i) The GCF of 1200 and 1203 is associative

GCF of 1200 and 1203 = GCF of 1203 and 1200

### Frequently Asked Questions on GCF of 1200 and 1203

1. What is the GCF of 1200 and 1203?

Answer: GCF of 1200 and 1203 is 3.

2. What are the Factors of 1200?

Answer: Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. There are 30 integers that are factors of 1200. The greatest factor of 1200 is 1200.

3. What are the Factors of 1203?

Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.

4. How to Find the GCF of 1200 and 1203?

Greatest Common Factor of 1200 and 1203 = 3

Step 1: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 1203

1203 = 3 x 401

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 1200 and 1203 is 3