Greatest Common Factor of 4182 and 4185

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 4182, 4185 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4182 and 4185 is 3.

GCF(4182,4185) = 3

GCF of 4182 and 4185

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

GCF of:
and

Greatest Common Factor of 4182 and 4185

GCF of 4182 and 4185 is 3

Prime Factorization of 4182


2 4182
3 2091
17 697
41 41
1

Prime factors of 4182 are 2,3,17,41. Prime factorization of 4182 in exponential form is:

4182 = 21×31×171×411

Prime Factorization of 4185


3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 4185 are 3,5,31. Prime factorization of 4185 in exponential form is:

4185 = 33×51×311

∴ So by taking common prime factors GCF of 4182 and 4185 is 3

Greatest Common Factor of 4182 and 4185 by matching factors method

Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185

Greatest Common Factor

We found the factors and prime factorization of 4182 and 4185. The biggest common factor number is the GCF number.
So the greatest common factor 4182 and 4185 is 3.

Also check out the Least Common Multiple of 4182 and 4185

Properties of GCF 4182 and 4185

(i) The GCF of 4182 and 4185 is associative

GCF of 4182 and 4185 = GCF of 4185 and 4182

Related Greatest Common Factor of 4182

Related Greatest Common Factor of 4185

Frequently Asked Questions on GCF of 4182 and 4185

1. What is the GCF of 4182 and 4185?

Answer: GCF of 4182 and 4185 is 3.

2. What are the Factors of 4182?

Answer: Factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182. There are 16 integers that are factors of 4182. The greatest factor of 4182 is 4182.

3. What are the Factors of 4185?

Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.

4. How to Find the GCF of 4182 and 4185?

Answer:

Greatest Common Factor of 4182 and 4185 = 3

Step 1: Find the prime factorization of 4182

4182 = 2 x 3 x 17 x 41

Step 2: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

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 4182 and 4185 is 3