Greatest Common Factor of 1106 and 1112

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 1106, 1112 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1106 and 1112 is 2.

GCF(1106,1112) = 2

GCF of 1106 and 1112

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

GCF of:
and

Greatest Common Factor of 1106 and 1112

GCF of 1106 and 1112 is 2

Prime Factorization of 1106


2 1106
7 553
79 79
1

Prime factors of 1106 are 2,7,79. Prime factorization of 1106 in exponential form is:

1106 = 21×71×791

Prime Factorization of 1112


2 1112
2 556
2 278
139 139
1

Prime factors of 1112 are 2,139. Prime factorization of 1112 in exponential form is:

1112 = 23×1391

∴ So by taking common prime factors GCF of 1106 and 1112 is 2

Greatest Common Factor of 1106 and 1112 by matching factors method

Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1,2,7,14,79,158,553,1106

Factors of 1112

List of positive integer factors of 1112 that divides 1112 without a remainder.

1,2,4,8,139,278,556,1112

Greatest Common Factor

We found the factors and prime factorization of 1106 and 1112. The biggest common factor number is the GCF number.
So the greatest common factor 1106 and 1112 is 2.

Also check out the Least Common Multiple of 1106 and 1112

Properties of GCF 1106 and 1112

(i) The GCF of 1106 and 1112 is associative

GCF of 1106 and 1112 = GCF of 1112 and 1106

Related Greatest Common Factor of 1106

Related Greatest Common Factor of 1112

Frequently Asked Questions on GCF of 1106 and 1112

1. What is the GCF of 1106 and 1112?

Answer: GCF of 1106 and 1112 is 2.

2. What are the Factors of 1106?

Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.

3. What are the Factors of 1112?

Answer: Factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112. There are 8 integers that are factors of 1112. The greatest factor of 1112 is 1112.

4. How to Find the GCF of 1106 and 1112?

Answer:

Greatest Common Factor of 1106 and 1112 = 2

Step 1: Find the prime factorization of 1106

1106 = 2 x 7 x 79

Step 2: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

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 1106 and 1112 is 2