Greatest Common Factor of 4174 and 4182

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 4174, 4182 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4174 and 4182 is 2.

GCF(4174,4182) = 2

GCF of 4174 and 4182

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

GCF of:
and

Greatest Common Factor of 4174 and 4182

GCF of 4174 and 4182 is 2

Prime Factorization of 4174


2 4174
2087 2087
1

Prime factors of 4174 are 2,2087. Prime factorization of 4174 in exponential form is:

4174 = 21×20871

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

∴ So by taking common prime factors GCF of 4174 and 4182 is 2

Greatest Common Factor of 4174 and 4182 by matching factors method

Factors of 4174

List of positive integer factors of 4174 that divides 4174 without a remainder.

1,2,2087,4174

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

Greatest Common Factor

We found the factors and prime factorization of 4174 and 4182. The biggest common factor number is the GCF number.
So the greatest common factor 4174 and 4182 is 2.

Also check out the Least Common Multiple of 4174 and 4182

Properties of GCF 4174 and 4182

(i) The GCF of 4174 and 4182 is associative

GCF of 4174 and 4182 = GCF of 4182 and 4174

Related Greatest Common Factor of 4174

Related Greatest Common Factor of 4182

Frequently Asked Questions on GCF of 4174 and 4182

1. What is the GCF of 4174 and 4182?

Answer: GCF of 4174 and 4182 is 2.

2. What are the Factors of 4174?

Answer: Factors of 4174 are 1, 2, 2087, 4174. There are 4 integers that are factors of 4174. The greatest factor of 4174 is 4174.

3. 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.

4. How to Find the GCF of 4174 and 4182?

Answer:

Greatest Common Factor of 4174 and 4182 = 2

Step 1: Find the prime factorization of 4174

4174 = 2 x 2087

Step 2: Find the prime factorization of 4182

4182 = 2 x 3 x 17 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4174 and 4182 is 2