Greatest Common Factor of 1176 and 1183

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 1176, 1183 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1176 and 1183 is 7.

GCF(1176,1183) = 7

GCF of 1176 and 1183

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

GCF of:
and

Greatest Common Factor of 1176 and 1183

GCF of 1176 and 1183 is 7

Prime Factorization of 1176


2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 1176 are 2,3,7. Prime factorization of 1176 in exponential form is:

1176 = 23×31×72

Prime Factorization of 1183


7 1183
13 169
13 13
1

Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:

1183 = 71×132

∴ So by taking common prime factors GCF of 1176 and 1183 is 7

Greatest Common Factor of 1176 and 1183 by matching factors method

Factors of 1176

List of positive integer factors of 1176 that divides 1176 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176

Factors of 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1,7,13,91,169,1183

Greatest Common Factor

We found the factors and prime factorization of 1176 and 1183. The biggest common factor number is the GCF number.
So the greatest common factor 1176 and 1183 is 7.

Also check out the Least Common Multiple of 1176 and 1183

Properties of GCF 1176 and 1183

(i) The GCF of 1176 and 1183 is associative

GCF of 1176 and 1183 = GCF of 1183 and 1176

Related Greatest Common Factor of 1176

Related Greatest Common Factor of 1183

Frequently Asked Questions on GCF of 1176 and 1183

1. What is the GCF of 1176 and 1183?

Answer: GCF of 1176 and 1183 is 7.

2. What are the Factors of 1176?

Answer: Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. There are 24 integers that are factors of 1176. The greatest factor of 1176 is 1176.

3. What are the Factors of 1183?

Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.

4. How to Find the GCF of 1176 and 1183?

Answer:

Greatest Common Factor of 1176 and 1183 = 7

Step 1: Find the prime factorization of 1176

1176 = 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 1183

1183 = 7 x 13 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1176 and 1183 is 7