Greatest Common Factor of 8160 and 8164

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, 8164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8160 and 8164 is 4.

GCF(8160,8164) = 4

GCF of 8160 and 8164

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

GCF of:
and

Greatest Common Factor of 8160 and 8164

GCF of 8160 and 8164 is 4

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 8164


2 8164
2 4082
13 2041
157 157
1

Prime factors of 8164 are 2,13,157. Prime factorization of 8164 in exponential form is:

8164 = 22×131×1571

∴ So by taking common prime factors GCF of 8160 and 8164 is 4

Greatest Common Factor of 8160 and 8164 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 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors and prime factorization of 8160 and 8164. The biggest common factor number is the GCF number.
So the greatest common factor 8160 and 8164 is 4.

Also check out the Least Common Multiple of 8160 and 8164

Properties of GCF 8160 and 8164

(i) The GCF of 8160 and 8164 is associative

GCF of 8160 and 8164 = GCF of 8164 and 8160

Related Greatest Common Factor of 8160

Related Greatest Common Factor of 8164

Frequently Asked Questions on GCF of 8160 and 8164

1. What is the GCF of 8160 and 8164?

Answer: GCF of 8160 and 8164 is 4.

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 8164?

Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.

4. How to Find the GCF of 8160 and 8164?

Answer:

Greatest Common Factor of 8160 and 8164 = 4

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 8164

8164 = 2 x 2 x 13 x 157

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 8160 and 8164 is 4