Greatest Common Factor of 1177 and 1184

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 1177, 1184 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1177 and 1184 is 1.

GCF(1177,1184) = 1

GCF of 1177 and 1184

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

GCF of:
and

Greatest Common Factor of 1177 and 1184

GCF of 1177 and 1184 is 1

Prime Factorization of 1177


11 1177
107 107
1

Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:

1177 = 111×1071

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

∴ So by taking common prime factors GCF of 1177 and 1184 is 1

Greatest Common Factor of 1177 and 1184 by matching factors method

Factors of 1177

List of positive integer factors of 1177 that divides 1177 without a remainder.

1,11,107,1177

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

Greatest Common Factor

We found the factors and prime factorization of 1177 and 1184. The biggest common factor number is the GCF number.
So the greatest common factor 1177 and 1184 is 1.

Also check out the Least Common Multiple of 1177 and 1184

Properties of GCF 1177 and 1184

(i) The GCF of 1177 and 1184 is associative

GCF of 1177 and 1184 = GCF of 1184 and 1177

Related Greatest Common Factor of 1177

Related Greatest Common Factor of 1184

Frequently Asked Questions on GCF of 1177 and 1184

1. What is the GCF of 1177 and 1184?

Answer: GCF of 1177 and 1184 is 1.

2. What are the Factors of 1177?

Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.

3. 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.

4. How to Find the GCF of 1177 and 1184?

Answer:

Greatest Common Factor of 1177 and 1184 = 1

Step 1: Find the prime factorization of 1177

1177 = 11 x 107

Step 2: Find the prime factorization of 1184

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1177 and 1184 is 1