Greatest Common Factor of 8160 and 8161

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 8160, 8161 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8160 and 8161 is 1.

GCF(8160,8161) = 1

GCF of 8160 and 8161

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

GCF of:
and

Greatest Common Factor of 8160 and 8161

GCF of 8160 and 8161 is 1

Prime Factorization of 8160


2 8160
2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 8160 are 2,3,5,17. Prime factorization of 8160 in exponential form is:

8160 = 25×31×51×171

Prime Factorization of 8161


8161 8161
1

Prime factors of 8161 are 8161. Prime factorization of 8161 in exponential form is:

8161 = 81611

∴ So by taking common prime factors GCF of 8160 and 8161 is 1

Greatest Common Factor of 8160 and 8161 by matching factors method

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

Factors of 8161

List of positive integer factors of 8161 that divides 8161 without a remainder.

1,8161

Greatest Common Factor

We found the factors and prime factorization of 8160 and 8161. The biggest common factor number is the GCF number.
So the greatest common factor 8160 and 8161 is 1.

Also check out the Least Common Multiple of 8160 and 8161

Properties of GCF 8160 and 8161

(i) The GCF of 8160 and 8161 is associative

GCF of 8160 and 8161 = GCF of 8161 and 8160

Frequently Asked Questions on GCF of 8160 and 8161

1. What is the GCF of 8160 and 8161?

Answer: GCF of 8160 and 8161 is 1.

2. What are the Factors of 8160?

Answer: Factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160. There are 48 integers that are factors of 8160. The greatest factor of 8160 is 8160.

3. What are the Factors of 8161?

Answer: Factors of 8161 are 1, 8161. There are 2 integers that are factors of 8161. The greatest factor of 8161 is 8161.

4. How to Find the GCF of 8160 and 8161?

Answer:

Greatest Common Factor of 8160 and 8161 = 1

Step 1: Find the prime factorization of 8160

8160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 8161

8161 = 8161

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 8160 and 8161 is 1