Greatest Common Factor of 8184 and 8192

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 8184, 8192 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8184 and 8192 is 8.

GCF(8184,8192) = 8

GCF of 8184 and 8192

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

GCF of:
and

Greatest Common Factor of 8184 and 8192

GCF of 8184 and 8192 is 8

Prime Factorization of 8184


2 8184
2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 8184 are 2,3,11,31. Prime factorization of 8184 in exponential form is:

8184 = 23×31×111×311

Prime Factorization of 8192


2 8192
2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 8192 are 2. Prime factorization of 8192 in exponential form is:

8192 = 213

∴ So by taking common prime factors GCF of 8184 and 8192 is 8

Greatest Common Factor of 8184 and 8192 by matching factors method

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Factors of 8192

List of positive integer factors of 8192 that divides 8192 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192

Greatest Common Factor

We found the factors and prime factorization of 8184 and 8192. The biggest common factor number is the GCF number.
So the greatest common factor 8184 and 8192 is 8.

Also check out the Least Common Multiple of 8184 and 8192

Properties of GCF 8184 and 8192

(i) The GCF of 8184 and 8192 is associative

GCF of 8184 and 8192 = GCF of 8192 and 8184

Related Greatest Common Factor of 8184

Related Greatest Common Factor of 8192

Frequently Asked Questions on GCF of 8184 and 8192

1. What is the GCF of 8184 and 8192?

Answer: GCF of 8184 and 8192 is 8.

2. What are the Factors of 8184?

Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.

3. What are the Factors of 8192?

Answer: Factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. There are 14 integers that are factors of 8192. The greatest factor of 8192 is 8192.

4. How to Find the GCF of 8184 and 8192?

Answer:

Greatest Common Factor of 8184 and 8192 = 8

Step 1: Find the prime factorization of 8184

8184 = 2 x 2 x 2 x 3 x 11 x 31

Step 2: Find the prime factorization of 8192

8192 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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 8184 and 8192 is 8