Greatest Common Factor of 2152 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 2152, 2160 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2152 and 2160 is 8.

GCF(2152,2160) = 8

GCF of 2152 and 2160

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

GCF of:
and

Greatest Common Factor of 2152 and 2160

GCF of 2152 and 2160 is 8

Prime Factorization of 2152


2 2152
2 1076
2 538
269 269
1

Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:

2152 = 23×2691

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 2152 and 2160 is 8

Greatest Common Factor of 2152 and 2160 by matching factors method

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

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 2152 and 2160. The biggest common factor number is the GCF number.
So the greatest common factor 2152 and 2160 is 8.

Also check out the Least Common Multiple of 2152 and 2160

Properties of GCF 2152 and 2160

(i) The GCF of 2152 and 2160 is associative

GCF of 2152 and 2160 = GCF of 2160 and 2152

Related Greatest Common Factor of 2152

Related Greatest Common Factor of 2160

Frequently Asked Questions on GCF of 2152 and 2160

1. What is the GCF of 2152 and 2160?

Answer: GCF of 2152 and 2160 is 8.

2. What are the Factors of 2152?

Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.

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 2152 and 2160?

Answer:

Greatest Common Factor of 2152 and 2160 = 8

Step 1: Find the prime factorization of 2152

2152 = 2 x 2 x 2 x 269

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2152 and 2160 is 8