Greatest Common Factor of 4180 and 4188

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 4180, 4188 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4180 and 4188 is 4.

GCF(4180,4188) = 4

GCF of 4180 and 4188

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

GCF of:
and

Greatest Common Factor of 4180 and 4188

GCF of 4180 and 4188 is 4

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

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

∴ So by taking common prime factors GCF of 4180 and 4188 is 4

Greatest Common Factor of 4180 and 4188 by matching factors method

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

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

Greatest Common Factor

We found the factors and prime factorization of 4180 and 4188. The biggest common factor number is the GCF number.
So the greatest common factor 4180 and 4188 is 4.

Also check out the Least Common Multiple of 4180 and 4188

Properties of GCF 4180 and 4188

(i) The GCF of 4180 and 4188 is associative

GCF of 4180 and 4188 = GCF of 4188 and 4180

Related Greatest Common Factor of 4180

Related Greatest Common Factor of 4188

Frequently Asked Questions on GCF of 4180 and 4188

1. What is the GCF of 4180 and 4188?

Answer: GCF of 4180 and 4188 is 4.

2. 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.

3. 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.

4. How to Find the GCF of 4180 and 4188?

Answer:

Greatest Common Factor of 4180 and 4188 = 4

Step 1: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

Step 2: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4180 and 4188 is 4