Greatest Common Factor of 4188 and 4194

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 4188, 4194 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4188 and 4194 is 6.

GCF(4188,4194) = 6

GCF of 4188 and 4194

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

GCF of:
and

Greatest Common Factor of 4188 and 4194

GCF of 4188 and 4194 is 6

Prime Factorization of 4188


2 4188
2 2094
3 1047
349 349
1

Prime factors of 4188 are 2,3,349. Prime factorization of 4188 in exponential form is:

4188 = 22×31×3491

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

∴ So by taking common prime factors GCF of 4188 and 4194 is 6

Greatest Common Factor of 4188 and 4194 by matching factors method

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

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

Greatest Common Factor

We found the factors and prime factorization of 4188 and 4194. The biggest common factor number is the GCF number.
So the greatest common factor 4188 and 4194 is 6.

Also check out the Least Common Multiple of 4188 and 4194

Properties of GCF 4188 and 4194

(i) The GCF of 4188 and 4194 is associative

GCF of 4188 and 4194 = GCF of 4194 and 4188

Related Greatest Common Factor of 4188

Related Greatest Common Factor of 4194

Frequently Asked Questions on GCF of 4188 and 4194

1. What is the GCF of 4188 and 4194?

Answer: GCF of 4188 and 4194 is 6.

2. What are the Factors of 4188?

Answer: Factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. There are 12 integers that are factors of 4188. The greatest factor of 4188 is 4188.

3. 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.

4. How to Find the GCF of 4188 and 4194?

Answer:

Greatest Common Factor of 4188 and 4194 = 6

Step 1: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 4194

4194 = 2 x 3 x 3 x 233

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 4188 and 4194 is 6