Greatest Common Factor of 4194 and 4200

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 4194, 4200 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4194 and 4200 is 6.

GCF(4194,4200) = 6

GCF of 4194 and 4200

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

GCF of:
and

Greatest Common Factor of 4194 and 4200

GCF of 4194 and 4200 is 6

Prime Factorization of 4194


2 4194
3 2097
3 699
233 233
1

Prime factors of 4194 are 2,3,233. Prime factorization of 4194 in exponential form is:

4194 = 21×32×2331

Prime Factorization of 4200


2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 4200 are 2,3,5,7. Prime factorization of 4200 in exponential form is:

4200 = 23×31×52×71

∴ So by taking common prime factors GCF of 4194 and 4200 is 6

Greatest Common Factor of 4194 and 4200 by matching factors method

Factors of 4194

List of positive integer factors of 4194 that divides 4194 without a remainder.

1,2,3,6,9,18,233,466,699,1398,2097,4194

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors and prime factorization of 4194 and 4200. The biggest common factor number is the GCF number.
So the greatest common factor 4194 and 4200 is 6.

Also check out the Least Common Multiple of 4194 and 4200

Properties of GCF 4194 and 4200

(i) The GCF of 4194 and 4200 is associative

GCF of 4194 and 4200 = GCF of 4200 and 4194

Related Greatest Common Factor of 4194

Related Greatest Common Factor of 4200

Frequently Asked Questions on GCF of 4194 and 4200

1. What is the GCF of 4194 and 4200?

Answer: GCF of 4194 and 4200 is 6.

2. What are the Factors of 4194?

Answer: Factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194. There are 12 integers that are factors of 4194. The greatest factor of 4194 is 4194.

3. What are the Factors of 4200?

Answer: Factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. There are 48 integers that are factors of 4200. The greatest factor of 4200 is 4200.

4. How to Find the GCF of 4194 and 4200?

Answer:

Greatest Common Factor of 4194 and 4200 = 6

Step 1: Find the prime factorization of 4194

4194 = 2 x 3 x 3 x 233

Step 2: Find the prime factorization of 4200

4200 = 2 x 2 x 2 x 3 x 5 x 5 x 7

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 4194 and 4200 is 6