Greatest Common Factor of 8156 and 8160

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 8156, 8160 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8156 and 8160 is 4.

GCF(8156,8160) = 4

GCF of 8156 and 8160

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

GCF of:
and

Greatest Common Factor of 8156 and 8160

GCF of 8156 and 8160 is 4

Prime Factorization of 8156


2 8156
2 4078
2039 2039
1

Prime factors of 8156 are 2,2039. Prime factorization of 8156 in exponential form is:

8156 = 22×20391

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

∴ So by taking common prime factors GCF of 8156 and 8160 is 4

Greatest Common Factor of 8156 and 8160 by matching factors method

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1,2,4,2039,4078,8156

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

Greatest Common Factor

We found the factors and prime factorization of 8156 and 8160. The biggest common factor number is the GCF number.
So the greatest common factor 8156 and 8160 is 4.

Also check out the Least Common Multiple of 8156 and 8160

Properties of GCF 8156 and 8160

(i) The GCF of 8156 and 8160 is associative

GCF of 8156 and 8160 = GCF of 8160 and 8156

Related Greatest Common Factor of 8156

Related Greatest Common Factor of 8160

Frequently Asked Questions on GCF of 8156 and 8160

1. What is the GCF of 8156 and 8160?

Answer: GCF of 8156 and 8160 is 4.

2. What are the Factors of 8156?

Answer: Factors of 8156 are 1, 2, 4, 2039, 4078, 8156. There are 6 integers that are factors of 8156. The greatest factor of 8156 is 8156.

3. 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.

4. How to Find the GCF of 8156 and 8160?

Answer:

Greatest Common Factor of 8156 and 8160 = 4

Step 1: Find the prime factorization of 8156

8156 = 2 x 2 x 2039

Step 2: Find the prime factorization of 8160

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8156 and 8160 is 4