Greatest Common Factor of 1194 and 1200

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 1194, 1200 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1194 and 1200 is 6.

GCF(1194,1200) = 6

GCF of 1194 and 1200

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

GCF of:
and

Greatest Common Factor of 1194 and 1200

GCF of 1194 and 1200 is 6

Prime Factorization of 1194


2 1194
3 597
199 199
1

Prime factors of 1194 are 2,3,199. Prime factorization of 1194 in exponential form is:

1194 = 21×31×1991

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

∴ So by taking common prime factors GCF of 1194 and 1200 is 6

Greatest Common Factor of 1194 and 1200 by matching factors method

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1,2,3,6,199,398,597,1194

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

Greatest Common Factor

We found the factors and prime factorization of 1194 and 1200. The biggest common factor number is the GCF number.
So the greatest common factor 1194 and 1200 is 6.

Also check out the Least Common Multiple of 1194 and 1200

Properties of GCF 1194 and 1200

(i) The GCF of 1194 and 1200 is associative

GCF of 1194 and 1200 = GCF of 1200 and 1194

Related Greatest Common Factor of 1194

Related Greatest Common Factor of 1200

Frequently Asked Questions on GCF of 1194 and 1200

1. What is the GCF of 1194 and 1200?

Answer: GCF of 1194 and 1200 is 6.

2. What are the Factors of 1194?

Answer: Factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194. There are 8 integers that are factors of 1194. The greatest factor of 1194 is 1194.

3. 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.

4. How to Find the GCF of 1194 and 1200?

Answer:

Greatest Common Factor of 1194 and 1200 = 6

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

Step 2: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 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 x 3 = 6

Step 4: Therefore, the greatest common factor of 1194 and 1200 is 6