Greatest Common Factor of 12176 and 12180

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 12176, 12180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12176 and 12180 is 4.

GCF(12176,12180) = 4

GCF of 12176 and 12180

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

GCF of:
and

Greatest Common Factor of 12176 and 12180

GCF of 12176 and 12180 is 4

Prime Factorization of 12176


2 12176
2 6088
2 3044
2 1522
761 761
1

Prime factors of 12176 are 2,761. Prime factorization of 12176 in exponential form is:

12176 = 24×7611

Prime Factorization of 12180


2 12180
2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 12180 are 2,3,5,7,29. Prime factorization of 12180 in exponential form is:

12180 = 22×31×51×71×291

∴ So by taking common prime factors GCF of 12176 and 12180 is 4

Greatest Common Factor of 12176 and 12180 by matching factors method

Factors of 12176

List of positive integer factors of 12176 that divides 12176 without a remainder.

1,2,4,8,16,761,1522,3044,6088,12176

Factors of 12180

List of positive integer factors of 12180 that divides 12180 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,29,30,35,42,58,60,70,84,87,105,116,140,145,174,203,210,290,348,406,420,435,580,609,812,870,1015,1218,1740,2030,2436,3045,4060,6090,12180

Greatest Common Factor

We found the factors and prime factorization of 12176 and 12180. The biggest common factor number is the GCF number.
So the greatest common factor 12176 and 12180 is 4.

Also check out the Least Common Multiple of 12176 and 12180

Properties of GCF 12176 and 12180

(i) The GCF of 12176 and 12180 is associative

GCF of 12176 and 12180 = GCF of 12180 and 12176

Related Greatest Common Factor of 12176

Related Greatest Common Factor of 12180

Frequently Asked Questions on GCF of 12176 and 12180

1. What is the GCF of 12176 and 12180?

Answer: GCF of 12176 and 12180 is 4.

2. What are the Factors of 12176?

Answer: Factors of 12176 are 1, 2, 4, 8, 16, 761, 1522, 3044, 6088, 12176. There are 10 integers that are factors of 12176. The greatest factor of 12176 is 12176.

3. What are the Factors of 12180?

Answer: Factors of 12180 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090, 12180. There are 48 integers that are factors of 12180. The greatest factor of 12180 is 12180.

4. How to Find the GCF of 12176 and 12180?

Answer:

Greatest Common Factor of 12176 and 12180 = 4

Step 1: Find the prime factorization of 12176

12176 = 2 x 2 x 2 x 2 x 761

Step 2: Find the prime factorization of 12180

12180 = 2 x 2 x 3 x 5 x 7 x 29

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 12176 and 12180 is 4