Greatest Common Factor of 1110 and 1117

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, 1117 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1110 and 1117 is 1.

GCF(1110,1117) = 1

GCF of 1110 and 1117

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

GCF of:
and

Greatest Common Factor of 1110 and 1117

GCF of 1110 and 1117 is 1

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 1117


1117 1117
1

Prime factors of 1117 are 1117. Prime factorization of 1117 in exponential form is:

1117 = 11171

∴ So by taking common prime factors GCF of 1110 and 1117 is 1

Greatest Common Factor of 1110 and 1117 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 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Greatest Common Factor

We found the factors and prime factorization of 1110 and 1117. The biggest common factor number is the GCF number.
So the greatest common factor 1110 and 1117 is 1.

Also check out the Least Common Multiple of 1110 and 1117

Properties of GCF 1110 and 1117

(i) The GCF of 1110 and 1117 is associative

GCF of 1110 and 1117 = GCF of 1117 and 1110

Related Greatest Common Factor of 1110

Related Greatest Common Factor of 1117

Frequently Asked Questions on GCF of 1110 and 1117

1. What is the GCF of 1110 and 1117?

Answer: GCF of 1110 and 1117 is 1.

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 1117?

Answer: Factors of 1117 are 1, 1117. There are 2 integers that are factors of 1117. The greatest factor of 1117 is 1117.

4. How to Find the GCF of 1110 and 1117?

Answer:

Greatest Common Factor of 1110 and 1117 = 1

Step 1: Find the prime factorization of 1110

1110 = 2 x 3 x 5 x 37

Step 2: Find the prime factorization of 1117

1117 = 1117

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 1110 and 1117 is 1