Greatest Common Factor of 2154 and 2160

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 2154, 2160 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2154 and 2160 is 6.

GCF(2154,2160) = 6

GCF of 2154 and 2160

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

GCF of:
and

Greatest Common Factor of 2154 and 2160

GCF of 2154 and 2160 is 6

Prime Factorization of 2154


2 2154
3 1077
359 359
1

Prime factors of 2154 are 2,3,359. Prime factorization of 2154 in exponential form is:

2154 = 21×31×3591

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

∴ So by taking common prime factors GCF of 2154 and 2160 is 6

Greatest Common Factor of 2154 and 2160 by matching factors method

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

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

Greatest Common Factor

We found the factors and prime factorization of 2154 and 2160. The biggest common factor number is the GCF number.
So the greatest common factor 2154 and 2160 is 6.

Also check out the Least Common Multiple of 2154 and 2160

Properties of GCF 2154 and 2160

(i) The GCF of 2154 and 2160 is associative

GCF of 2154 and 2160 = GCF of 2160 and 2154

Related Greatest Common Factor of 2154

Related Greatest Common Factor of 2160

Frequently Asked Questions on GCF of 2154 and 2160

1. What is the GCF of 2154 and 2160?

Answer: GCF of 2154 and 2160 is 6.

2. What are the Factors of 2154?

Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.

3. 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.

4. How to Find the GCF of 2154 and 2160?

Answer:

Greatest Common Factor of 2154 and 2160 = 6

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

Step 2: Find the prime factorization of 2160

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2154 and 2160 is 6