Greatest Common Factor of 2160 and 2168

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, 2168 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2160 and 2168 is 8.

GCF(2160,2168) = 8

GCF of 2160 and 2168

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

GCF of:
and

Greatest Common Factor of 2160 and 2168

GCF of 2160 and 2168 is 8

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 2168


2 2168
2 1084
2 542
271 271
1

Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:

2168 = 23×2711

∴ So by taking common prime factors GCF of 2160 and 2168 is 8

Greatest Common Factor of 2160 and 2168 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 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1,2,4,8,271,542,1084,2168

Greatest Common Factor

We found the factors and prime factorization of 2160 and 2168. The biggest common factor number is the GCF number.
So the greatest common factor 2160 and 2168 is 8.

Also check out the Least Common Multiple of 2160 and 2168

Properties of GCF 2160 and 2168

(i) The GCF of 2160 and 2168 is associative

GCF of 2160 and 2168 = GCF of 2168 and 2160

Related Greatest Common Factor of 2160

Related Greatest Common Factor of 2168

Frequently Asked Questions on GCF of 2160 and 2168

1. What is the GCF of 2160 and 2168?

Answer: GCF of 2160 and 2168 is 8.

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 2168?

Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.

4. How to Find the GCF of 2160 and 2168?

Answer:

Greatest Common Factor of 2160 and 2168 = 8

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 2168

2168 = 2 x 2 x 2 x 271

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2160 and 2168 is 8