Greatest Common Factor of 2160 and 2162

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 2160, 2162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2160 and 2162 is 2.

GCF(2160,2162) = 2

GCF of 2160 and 2162

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

GCF of:
and

Greatest Common Factor of 2160 and 2162

GCF of 2160 and 2162 is 2

Prime Factorization of 2160


2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 2160 are 2,3,5. Prime factorization of 2160 in exponential form is:

2160 = 24×33×51

Prime Factorization of 2162


2 2162
23 1081
47 47
1

Prime factors of 2162 are 2,23,47. Prime factorization of 2162 in exponential form is:

2162 = 21×231×471

∴ So by taking common prime factors GCF of 2160 and 2162 is 2

Greatest Common Factor of 2160 and 2162 by matching factors method

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Factors of 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1,2,23,46,47,94,1081,2162

Greatest Common Factor

We found the factors and prime factorization of 2160 and 2162. The biggest common factor number is the GCF number.
So the greatest common factor 2160 and 2162 is 2.

Also check out the Least Common Multiple of 2160 and 2162

Properties of GCF 2160 and 2162

(i) The GCF of 2160 and 2162 is associative

GCF of 2160 and 2162 = GCF of 2162 and 2160

Frequently Asked Questions on GCF of 2160 and 2162

1. What is the GCF of 2160 and 2162?

Answer: GCF of 2160 and 2162 is 2.

2. What are the Factors of 2160?

Answer: Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. There are 40 integers that are factors of 2160. The greatest factor of 2160 is 2160.

3. What are the Factors of 2162?

Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.

4. How to Find the GCF of 2160 and 2162?

Answer:

Greatest Common Factor of 2160 and 2162 = 2

Step 1: Find the prime factorization of 2160

2160 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 2162

2162 = 2 x 23 x 47

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 2160 and 2162 is 2