Greatest Common Factor of 1166 and 1172

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 1166, 1172 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1166 and 1172 is 2.

GCF(1166,1172) = 2

GCF of 1166 and 1172

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

GCF of:
and

Greatest Common Factor of 1166 and 1172

GCF of 1166 and 1172 is 2

Prime Factorization of 1166


2 1166
11 583
53 53
1

Prime factors of 1166 are 2,11,53. Prime factorization of 1166 in exponential form is:

1166 = 21×111×531

Prime Factorization of 1172


2 1172
2 586
293 293
1

Prime factors of 1172 are 2,293. Prime factorization of 1172 in exponential form is:

1172 = 22×2931

∴ So by taking common prime factors GCF of 1166 and 1172 is 2

Greatest Common Factor of 1166 and 1172 by matching factors method

Factors of 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1,2,11,22,53,106,583,1166

Factors of 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1,2,4,293,586,1172

Greatest Common Factor

We found the factors and prime factorization of 1166 and 1172. The biggest common factor number is the GCF number.
So the greatest common factor 1166 and 1172 is 2.

Also check out the Least Common Multiple of 1166 and 1172

Properties of GCF 1166 and 1172

(i) The GCF of 1166 and 1172 is associative

GCF of 1166 and 1172 = GCF of 1172 and 1166

Related Greatest Common Factor of 1166

Related Greatest Common Factor of 1172

Frequently Asked Questions on GCF of 1166 and 1172

1. What is the GCF of 1166 and 1172?

Answer: GCF of 1166 and 1172 is 2.

2. What are the Factors of 1166?

Answer: Factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166. There are 8 integers that are factors of 1166. The greatest factor of 1166 is 1166.

3. What are the Factors of 1172?

Answer: Factors of 1172 are 1, 2, 4, 293, 586, 1172. There are 6 integers that are factors of 1172. The greatest factor of 1172 is 1172.

4. How to Find the GCF of 1166 and 1172?

Answer:

Greatest Common Factor of 1166 and 1172 = 2

Step 1: Find the prime factorization of 1166

1166 = 2 x 11 x 53

Step 2: Find the prime factorization of 1172

1172 = 2 x 2 x 293

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1166 and 1172 is 2