Greatest Common Factor of 1116 and 1123

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 1116, 1123 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1116 and 1123 is 1.

GCF(1116,1123) = 1

GCF of 1116 and 1123

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

GCF of:
and

Greatest Common Factor of 1116 and 1123

GCF of 1116 and 1123 is 1

Prime Factorization of 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2,3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

Prime Factorization of 1123


1123 1123
1

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

∴ So by taking common prime factors GCF of 1116 and 1123 is 1

Greatest Common Factor of 1116 and 1123 by matching factors method

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1,1123

Greatest Common Factor

We found the factors and prime factorization of 1116 and 1123. The biggest common factor number is the GCF number.
So the greatest common factor 1116 and 1123 is 1.

Also check out the Least Common Multiple of 1116 and 1123

Properties of GCF 1116 and 1123

(i) The GCF of 1116 and 1123 is associative

GCF of 1116 and 1123 = GCF of 1123 and 1116

Related Greatest Common Factor of 1116

Related Greatest Common Factor of 1123

Frequently Asked Questions on GCF of 1116 and 1123

1. What is the GCF of 1116 and 1123?

Answer: GCF of 1116 and 1123 is 1.

2. What are the Factors of 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

3. What are the Factors of 1123?

Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.

4. How to Find the GCF of 1116 and 1123?

Answer:

Greatest Common Factor of 1116 and 1123 = 1

Step 1: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 1123

1123 = 1123

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 1116 and 1123 is 1