Greatest Common Factor of 5178 and 5184

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 5178, 5184 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5178 and 5184 is 6.

GCF(5178,5184) = 6

GCF of 5178 and 5184

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

GCF of:
and

Greatest Common Factor of 5178 and 5184

GCF of 5178 and 5184 is 6

Prime Factorization of 5178


2 5178
3 2589
863 863
1

Prime factors of 5178 are 2,3,863. Prime factorization of 5178 in exponential form is:

5178 = 21×31×8631

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

∴ So by taking common prime factors GCF of 5178 and 5184 is 6

Greatest Common Factor of 5178 and 5184 by matching factors method

Factors of 5178

List of positive integer factors of 5178 that divides 5178 without a remainder.

1,2,3,6,863,1726,2589,5178

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

Greatest Common Factor

We found the factors and prime factorization of 5178 and 5184. The biggest common factor number is the GCF number.
So the greatest common factor 5178 and 5184 is 6.

Also check out the Least Common Multiple of 5178 and 5184

Properties of GCF 5178 and 5184

(i) The GCF of 5178 and 5184 is associative

GCF of 5178 and 5184 = GCF of 5184 and 5178

Related Greatest Common Factor of 5178

Related Greatest Common Factor of 5184

Frequently Asked Questions on GCF of 5178 and 5184

1. What is the GCF of 5178 and 5184?

Answer: GCF of 5178 and 5184 is 6.

2. What are the Factors of 5178?

Answer: Factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178. There are 8 integers that are factors of 5178. The greatest factor of 5178 is 5178.

3. 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.

4. How to Find the GCF of 5178 and 5184?

Answer:

Greatest Common Factor of 5178 and 5184 = 6

Step 1: Find the prime factorization of 5178

5178 = 2 x 3 x 863

Step 2: 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 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 5178 and 5184 is 6