Greatest Common Factor of 1184 and 1192

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 1184, 1192 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1184 and 1192 is 8.

GCF(1184,1192) = 8

GCF of 1184 and 1192

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

GCF of:
and

Greatest Common Factor of 1184 and 1192

GCF of 1184 and 1192 is 8

Prime Factorization of 1184


2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 1184 are 2,37. Prime factorization of 1184 in exponential form is:

1184 = 25×371

Prime Factorization of 1192


2 1192
2 596
2 298
149 149
1

Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:

1192 = 23×1491

∴ So by taking common prime factors GCF of 1184 and 1192 is 8

Greatest Common Factor of 1184 and 1192 by matching factors method

Factors of 1184

List of positive integer factors of 1184 that divides 1184 without a remainder.

1,2,4,8,16,32,37,74,148,296,592,1184

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1,2,4,8,149,298,596,1192

Greatest Common Factor

We found the factors and prime factorization of 1184 and 1192. The biggest common factor number is the GCF number.
So the greatest common factor 1184 and 1192 is 8.

Also check out the Least Common Multiple of 1184 and 1192

Properties of GCF 1184 and 1192

(i) The GCF of 1184 and 1192 is associative

GCF of 1184 and 1192 = GCF of 1192 and 1184

Related Greatest Common Factor of 1184

Related Greatest Common Factor of 1192

Frequently Asked Questions on GCF of 1184 and 1192

1. What is the GCF of 1184 and 1192?

Answer: GCF of 1184 and 1192 is 8.

2. What are the Factors of 1184?

Answer: Factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184. There are 12 integers that are factors of 1184. The greatest factor of 1184 is 1184.

3. What are the Factors of 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

4. How to Find the GCF of 1184 and 1192?

Answer:

Greatest Common Factor of 1184 and 1192 = 8

Step 1: Find the prime factorization of 1184

1184 = 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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 1184 and 1192 is 8