Greatest Common Factor of 1110 and 1118

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 1110, 1118 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1110 and 1118 is 2.

GCF(1110,1118) = 2

GCF of 1110 and 1118

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

GCF of:
and

Greatest Common Factor of 1110 and 1118

GCF of 1110 and 1118 is 2

Prime Factorization of 1110


2 1110
3 555
5 185
37 37
1

Prime factors of 1110 are 2,3,5,37. Prime factorization of 1110 in exponential form is:

1110 = 21×31×51×371

Prime Factorization of 1118


2 1118
13 559
43 43
1

Prime factors of 1118 are 2,13,43. Prime factorization of 1118 in exponential form is:

1118 = 21×131×431

∴ So by taking common prime factors GCF of 1110 and 1118 is 2

Greatest Common Factor of 1110 and 1118 by matching factors method

Factors of 1110

List of positive integer factors of 1110 that divides 1110 without a remainder.

1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110

Factors of 1118

List of positive integer factors of 1118 that divides 1118 without a remainder.

1,2,13,26,43,86,559,1118

Greatest Common Factor

We found the factors and prime factorization of 1110 and 1118. The biggest common factor number is the GCF number.
So the greatest common factor 1110 and 1118 is 2.

Also check out the Least Common Multiple of 1110 and 1118

Properties of GCF 1110 and 1118

(i) The GCF of 1110 and 1118 is associative

GCF of 1110 and 1118 = GCF of 1118 and 1110

Related Greatest Common Factor of 1110

Related Greatest Common Factor of 1118

Frequently Asked Questions on GCF of 1110 and 1118

1. What is the GCF of 1110 and 1118?

Answer: GCF of 1110 and 1118 is 2.

2. What are the Factors of 1110?

Answer: Factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110. There are 16 integers that are factors of 1110. The greatest factor of 1110 is 1110.

3. What are the Factors of 1118?

Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.

4. How to Find the GCF of 1110 and 1118?

Answer:

Greatest Common Factor of 1110 and 1118 = 2

Step 1: Find the prime factorization of 1110

1110 = 2 x 3 x 5 x 37

Step 2: Find the prime factorization of 1118

1118 = 2 x 13 x 43

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 1110 and 1118 is 2