Greatest Common Factor of 1114 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 1114, 1122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1114 and 1122 is 2.

GCF(1114,1122) = 2

GCF of 1114 and 1122

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

GCF of:
and

Greatest Common Factor of 1114 and 1122

GCF of 1114 and 1122 is 2

Prime Factorization of 1114


2 1114
557 557
1

Prime factors of 1114 are 2,557. Prime factorization of 1114 in exponential form is:

1114 = 21×5571

Prime Factorization of 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2,3,11,17. Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

∴ So by taking common prime factors GCF of 1114 and 1122 is 2

Greatest Common Factor of 1114 and 1122 by matching factors method

Factors of 1114

List of positive integer factors of 1114 that divides 1114 without a remainder.

1,2,557,1114

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 1114 and 1122. The biggest common factor number is the GCF number.
So the greatest common factor 1114 and 1122 is 2.

Also check out the Least Common Multiple of 1114 and 1122

Properties of GCF 1114 and 1122

(i) The GCF of 1114 and 1122 is associative

GCF of 1114 and 1122 = GCF of 1122 and 1114

Related Greatest Common Factor of 1114

Related Greatest Common Factor of 1122

Frequently Asked Questions on GCF of 1114 and 1122

1. What is the GCF of 1114 and 1122?

Answer: GCF of 1114 and 1122 is 2.

2. What are the Factors of 1114?

Answer: Factors of 1114 are 1, 2, 557, 1114. There are 4 integers that are factors of 1114. The greatest factor of 1114 is 1114.

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 1114 and 1122?

Answer:

Greatest Common Factor of 1114 and 1122 = 2

Step 1: Find the prime factorization of 1114

1114 = 2 x 557

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 = 2

Step 4: Therefore, the greatest common factor of 1114 and 1122 is 2