Greatest Common Factor of 2180 and 2184

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 2180, 2184 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2180 and 2184 is 4.

GCF(2180,2184) = 4

GCF of 2180 and 2184

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

GCF of:
and

Greatest Common Factor of 2180 and 2184

GCF of 2180 and 2184 is 4

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2,5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

Prime Factorization of 2184


2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 2184 are 2,3,7,13. Prime factorization of 2184 in exponential form is:

2184 = 23×31×71×131

∴ So by taking common prime factors GCF of 2180 and 2184 is 4

Greatest Common Factor of 2180 and 2184 by matching factors method

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Greatest Common Factor

We found the factors and prime factorization of 2180 and 2184. The biggest common factor number is the GCF number.
So the greatest common factor 2180 and 2184 is 4.

Also check out the Least Common Multiple of 2180 and 2184

Properties of GCF 2180 and 2184

(i) The GCF of 2180 and 2184 is associative

GCF of 2180 and 2184 = GCF of 2184 and 2180

Related Greatest Common Factor of 2180

Related Greatest Common Factor of 2184

Frequently Asked Questions on GCF of 2180 and 2184

1. What is the GCF of 2180 and 2184?

Answer: GCF of 2180 and 2184 is 4.

2. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

3. What are the Factors of 2184?

Answer: Factors of 2184 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184. There are 32 integers that are factors of 2184. The greatest factor of 2184 is 2184.

4. How to Find the GCF of 2180 and 2184?

Answer:

Greatest Common Factor of 2180 and 2184 = 4

Step 1: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

Step 2: Find the prime factorization of 2184

2184 = 2 x 2 x 2 x 3 x 7 x 13

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 2180 and 2184 is 4