Greatest Common Factor of 5184 and 5190

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, 5190 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5184 and 5190 is 6.

GCF(5184,5190) = 6

GCF of 5184 and 5190

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

GCF of:
and

Greatest Common Factor of 5184 and 5190

GCF of 5184 and 5190 is 6

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 5190


2 5190
3 2595
5 865
173 173
1

Prime factors of 5190 are 2,3,5,173. Prime factorization of 5190 in exponential form is:

5190 = 21×31×51×1731

∴ So by taking common prime factors GCF of 5184 and 5190 is 6

Greatest Common Factor of 5184 and 5190 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 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190

Greatest Common Factor

We found the factors and prime factorization of 5184 and 5190. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5190 is 6.

Also check out the Least Common Multiple of 5184 and 5190

Properties of GCF 5184 and 5190

(i) The GCF of 5184 and 5190 is associative

GCF of 5184 and 5190 = GCF of 5190 and 5184

Related Greatest Common Factor of 5184

Related Greatest Common Factor of 5190

Frequently Asked Questions on GCF of 5184 and 5190

1. What is the GCF of 5184 and 5190?

Answer: GCF of 5184 and 5190 is 6.

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 5190?

Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.

4. How to Find the GCF of 5184 and 5190?

Answer:

Greatest Common Factor of 5184 and 5190 = 6

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 5190

5190 = 2 x 3 x 5 x 173

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5184 and 5190 is 6