Greatest Common Factor of 1107 and 1110

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 1107, 1110 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1107 and 1110 is 3.

GCF(1107,1110) = 3

GCF of 1107 and 1110

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

GCF of:
and

Greatest Common Factor of 1107 and 1110

GCF of 1107 and 1110 is 3

Prime Factorization of 1107


3 1107
3 369
3 123
41 41
1

Prime factors of 1107 are 3,41. Prime factorization of 1107 in exponential form is:

1107 = 33×411

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

∴ So by taking common prime factors GCF of 1107 and 1110 is 3

Greatest Common Factor of 1107 and 1110 by matching factors method

Factors of 1107

List of positive integer factors of 1107 that divides 1107 without a remainder.

1,3,9,27,41,123,369,1107

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

Greatest Common Factor

We found the factors and prime factorization of 1107 and 1110. The biggest common factor number is the GCF number.
So the greatest common factor 1107 and 1110 is 3.

Also check out the Least Common Multiple of 1107 and 1110

Properties of GCF 1107 and 1110

(i) The GCF of 1107 and 1110 is associative

GCF of 1107 and 1110 = GCF of 1110 and 1107

Related Greatest Common Factor of 1107

Related Greatest Common Factor of 1110

Frequently Asked Questions on GCF of 1107 and 1110

1. What is the GCF of 1107 and 1110?

Answer: GCF of 1107 and 1110 is 3.

2. What are the Factors of 1107?

Answer: Factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107. There are 8 integers that are factors of 1107. The greatest factor of 1107 is 1107.

3. 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.

4. How to Find the GCF of 1107 and 1110?

Answer:

Greatest Common Factor of 1107 and 1110 = 3

Step 1: Find the prime factorization of 1107

1107 = 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 1110

1110 = 2 x 3 x 5 x 37

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1107 and 1110 is 3