Greatest Common Factor of 7176 and 7184

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 7176, 7184 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7176 and 7184 is 8.

GCF(7176,7184) = 8

GCF of 7176 and 7184

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

GCF of:
and

Greatest Common Factor of 7176 and 7184

GCF of 7176 and 7184 is 8

Prime Factorization of 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2,3,13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

Prime Factorization of 7184


2 7184
2 3592
2 1796
2 898
449 449
1

Prime factors of 7184 are 2,449. Prime factorization of 7184 in exponential form is:

7184 = 24×4491

∴ So by taking common prime factors GCF of 7176 and 7184 is 8

Greatest Common Factor of 7176 and 7184 by matching factors method

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Factors of 7184

List of positive integer factors of 7184 that divides 7184 without a remainder.

1,2,4,8,16,449,898,1796,3592,7184

Greatest Common Factor

We found the factors and prime factorization of 7176 and 7184. The biggest common factor number is the GCF number.
So the greatest common factor 7176 and 7184 is 8.

Also check out the Least Common Multiple of 7176 and 7184

Properties of GCF 7176 and 7184

(i) The GCF of 7176 and 7184 is associative

GCF of 7176 and 7184 = GCF of 7184 and 7176

Related Greatest Common Factor of 7176

Related Greatest Common Factor of 7184

Frequently Asked Questions on GCF of 7176 and 7184

1. What is the GCF of 7176 and 7184?

Answer: GCF of 7176 and 7184 is 8.

2. What are the Factors of 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

3. What are the Factors of 7184?

Answer: Factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184. There are 10 integers that are factors of 7184. The greatest factor of 7184 is 7184.

4. How to Find the GCF of 7176 and 7184?

Answer:

Greatest Common Factor of 7176 and 7184 = 8

Step 1: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 7184

7184 = 2 x 2 x 2 x 2 x 449

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 7176 and 7184 is 8