Greatest Common Factor of 4172 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 4172, 4180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4172 and 4180 is 4.

GCF(4172,4180) = 4

GCF of 4172 and 4180

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

GCF of:
and

Greatest Common Factor of 4172 and 4180

GCF of 4172 and 4180 is 4

Prime Factorization of 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2,7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

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 4172 and 4180 is 4

Greatest Common Factor of 4172 and 4180 by matching factors method

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

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 4172 and 4180. The biggest common factor number is the GCF number.
So the greatest common factor 4172 and 4180 is 4.

Also check out the Least Common Multiple of 4172 and 4180

Properties of GCF 4172 and 4180

(i) The GCF of 4172 and 4180 is associative

GCF of 4172 and 4180 = GCF of 4180 and 4172

Related Greatest Common Factor of 4172

Related Greatest Common Factor of 4180

Frequently Asked Questions on GCF of 4172 and 4180

1. What is the GCF of 4172 and 4180?

Answer: GCF of 4172 and 4180 is 4.

2. What are the Factors of 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

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 4172 and 4180?

Answer:

Greatest Common Factor of 4172 and 4180 = 4

Step 1: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 4172 and 4180 is 4