Greatest Common Factor of 5184 and 5192

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 5184, 5192 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5184 and 5192 is 8.

GCF(5184,5192) = 8

GCF of 5184 and 5192

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

GCF of:
and

Greatest Common Factor of 5184 and 5192

GCF of 5184 and 5192 is 8

Prime Factorization of 5184


2 5184
2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 5184 are 2,3. Prime factorization of 5184 in exponential form is:

5184 = 26×34

Prime Factorization of 5192


2 5192
2 2596
2 1298
11 649
59 59
1

Prime factors of 5192 are 2,11,59. Prime factorization of 5192 in exponential form is:

5192 = 23×111×591

∴ So by taking common prime factors GCF of 5184 and 5192 is 8

Greatest Common Factor of 5184 and 5192 by matching factors method

Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192

Greatest Common Factor

We found the factors and prime factorization of 5184 and 5192. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5192 is 8.

Also check out the Least Common Multiple of 5184 and 5192

Properties of GCF 5184 and 5192

(i) The GCF of 5184 and 5192 is associative

GCF of 5184 and 5192 = GCF of 5192 and 5184

Related Greatest Common Factor of 5184

Related Greatest Common Factor of 5192

Frequently Asked Questions on GCF of 5184 and 5192

1. What is the GCF of 5184 and 5192?

Answer: GCF of 5184 and 5192 is 8.

2. What are the Factors of 5184?

Answer: Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. There are 35 integers that are factors of 5184. The greatest factor of 5184 is 5184.

3. What are the Factors of 5192?

Answer: Factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192. There are 16 integers that are factors of 5192. The greatest factor of 5192 is 5192.

4. How to Find the GCF of 5184 and 5192?

Answer:

Greatest Common Factor of 5184 and 5192 = 8

Step 1: Find the prime factorization of 5184

5184 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 5192

5192 = 2 x 2 x 2 x 11 x 59

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 5184 and 5192 is 8