Greatest Common Factor of 1117 and 1122

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 1117, 1122 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1117 and 1122 is 1.

GCF(1117,1122) = 1

GCF of 1117 and 1122

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

GCF of:
and

Greatest Common Factor of 1117 and 1122

GCF of 1117 and 1122 is 1

Prime Factorization of 1117


1117 1117
1

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

1117 = 11171

Prime Factorization of 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2.Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

∴ So by taking common prime factors GCF of 1117 and 1122 is 1

Greatest Common Factor of 1117 and 1122 by matching factors method

Factors of 1117

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

1,1117

Factors of 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122

Greatest Common Factor

We found the factors and prime factorization of 1117 and 1122. The biggest common factor number is the GCF number.
So the greatest common factor 1117 and 1122 is 1.

Also check out the Least Common Multiple of 1117 and 1122

Properties of GCF 1117 and 1122

(i) The GCF of 1117 and 1122 is associative

GCF of 1117 and 1122 = GCF of 1122 and 1117

Related Greatest Common Factor of 1117

Related Greatest Common Factor of 1122

Frequently Asked Questions on GCF of 1117 and 1122

1. What is the GCF of 1117 and 1122?

Answer: GCF of 1117 and 1122 is 1.

2. 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.

3. What are the Factors of 1122?

Answer: Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. There are 16 integers that are factors of 1122. The greatest factor of 1122 is 1122.

4. How to Find the GCF of 1117 and 1122?

Answer:

Greatest Common Factor of 1117 and 1122 = 1

Step 1: Find the prime factorization of 1117

1117 = 1117

Step 2: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

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 1117 and 1122 is 1