Greatest Common Factor of 2160 and 2167

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, 2167 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2160 and 2167 is 1.

GCF(2160,2167) = 1

GCF of 2160 and 2167

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

GCF of:
and

Greatest Common Factor of 2160 and 2167

GCF of 2160 and 2167 is 1

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 2167


11 2167
197 197
1

Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:

2167 = 111×1971

∴ So by taking common prime factors GCF of 2160 and 2167 is 1

Greatest Common Factor of 2160 and 2167 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 2167

List of positive integer factors of 2167 that divides 2167 without a remainder.

1,11,197,2167

Greatest Common Factor

We found the factors and prime factorization of 2160 and 2167. The biggest common factor number is the GCF number.
So the greatest common factor 2160 and 2167 is 1.

Also check out the Least Common Multiple of 2160 and 2167

Properties of GCF 2160 and 2167

(i) The GCF of 2160 and 2167 is associative

GCF of 2160 and 2167 = GCF of 2167 and 2160

Related Greatest Common Factor of 2160

Related Greatest Common Factor of 2167

Frequently Asked Questions on GCF of 2160 and 2167

1. What is the GCF of 2160 and 2167?

Answer: GCF of 2160 and 2167 is 1.

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 2167?

Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.

4. How to Find the GCF of 2160 and 2167?

Answer:

Greatest Common Factor of 2160 and 2167 = 1

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 2167

2167 = 11 x 197

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2160 and 2167 is 1