Greatest Common Factor of 5176 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 5176, 5184 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5176 and 5184 is 8.

GCF(5176,5184) = 8

GCF of 5176 and 5184

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

GCF of:
and

Greatest Common Factor of 5176 and 5184

GCF of 5176 and 5184 is 8

Prime Factorization of 5176


2 5176
2 2588
2 1294
647 647
1

Prime factors of 5176 are 2,647. Prime factorization of 5176 in exponential form is:

5176 = 23×6471

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 5176 and 5184 is 8

Greatest Common Factor of 5176 and 5184 by matching factors method

Factors of 5176

List of positive integer factors of 5176 that divides 5176 without a remainder.

1,2,4,8,647,1294,2588,5176

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 5176 and 5184. The biggest common factor number is the GCF number.
So the greatest common factor 5176 and 5184 is 8.

Also check out the Least Common Multiple of 5176 and 5184

Properties of GCF 5176 and 5184

(i) The GCF of 5176 and 5184 is associative

GCF of 5176 and 5184 = GCF of 5184 and 5176

Related Greatest Common Factor of 5176

Related Greatest Common Factor of 5184

Frequently Asked Questions on GCF of 5176 and 5184

1. What is the GCF of 5176 and 5184?

Answer: GCF of 5176 and 5184 is 8.

2. What are the Factors of 5176?

Answer: Factors of 5176 are 1, 2, 4, 8, 647, 1294, 2588, 5176. There are 8 integers that are factors of 5176. The greatest factor of 5176 is 5176.

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 5176 and 5184?

Answer:

Greatest Common Factor of 5176 and 5184 = 8

Step 1: Find the prime factorization of 5176

5176 = 2 x 2 x 2 x 647

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5176 and 5184 is 8