Greatest Common Factor of 4174 and 4180

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, 4180 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4174 and 4180 is 2.

GCF(4174,4180) = 2

GCF of 4174 and 4180

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

GCF of:
and

Greatest Common Factor of 4174 and 4180

GCF of 4174 and 4180 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 4180


2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 4180 are 2,5,11,19. Prime factorization of 4180 in exponential form is:

4180 = 22×51×111×191

∴ So by taking common prime factors GCF of 4174 and 4180 is 2

Greatest Common Factor of 4174 and 4180 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 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors and prime factorization of 4174 and 4180. The biggest common factor number is the GCF number.
So the greatest common factor 4174 and 4180 is 2.

Also check out the Least Common Multiple of 4174 and 4180

Properties of GCF 4174 and 4180

(i) The GCF of 4174 and 4180 is associative

GCF of 4174 and 4180 = GCF of 4180 and 4174

Related Greatest Common Factor of 4174

Related Greatest Common Factor of 4180

Frequently Asked Questions on GCF of 4174 and 4180

1. What is the GCF of 4174 and 4180?

Answer: GCF of 4174 and 4180 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 4180?

Answer: Factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180. There are 24 integers that are factors of 4180. The greatest factor of 4180 is 4180.

4. How to Find the GCF of 4174 and 4180?

Answer:

Greatest Common Factor of 4174 and 4180 = 2

Step 1: Find the prime factorization of 4174

4174 = 2 x 2087

Step 2: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

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 4180 is 2