Greatest Common Factor of 1200 and 1206

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 1200, 1206 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1200 and 1206 is 6.

GCF(1200,1206) = 6

GCF of 1200 and 1206

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

GCF of:
and

Greatest Common Factor of 1200 and 1206

GCF of 1200 and 1206 is 6

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 1206


2 1206
3 603
3 201
67 67
1

Prime factors of 1206 are 2,3,67. Prime factorization of 1206 in exponential form is:

1206 = 21×32×671

∴ So by taking common prime factors GCF of 1200 and 1206 is 6

Greatest Common Factor of 1200 and 1206 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 1206

List of positive integer factors of 1206 that divides 1206 without a remainder.

1,2,3,6,9,18,67,134,201,402,603,1206

Greatest Common Factor

We found the factors and prime factorization of 1200 and 1206. The biggest common factor number is the GCF number.
So the greatest common factor 1200 and 1206 is 6.

Also check out the Least Common Multiple of 1200 and 1206

Properties of GCF 1200 and 1206

(i) The GCF of 1200 and 1206 is associative

GCF of 1200 and 1206 = GCF of 1206 and 1200

Related Greatest Common Factor of 1200

Related Greatest Common Factor of 1206

Frequently Asked Questions on GCF of 1200 and 1206

1. What is the GCF of 1200 and 1206?

Answer: GCF of 1200 and 1206 is 6.

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 1206?

Answer: Factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206. There are 12 integers that are factors of 1206. The greatest factor of 1206 is 1206.

4. How to Find the GCF of 1200 and 1206?

Answer:

Greatest Common Factor of 1200 and 1206 = 6

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 1206

1206 = 2 x 3 x 3 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1200 and 1206 is 6