Greatest Common Factor of 1112 and 1115

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 1112, 1115 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1112 and 1115 is 1.

GCF(1112,1115) = 1

GCF of 1112 and 1115

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

GCF of:
and

Greatest Common Factor of 1112 and 1115

GCF of 1112 and 1115 is 1

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

Prime Factorization of 1115


5 1115
223 223
1

Prime factors of 1115 are 5,223. Prime factorization of 1115 in exponential form is:

1115 = 51×2231

∴ So by taking common prime factors GCF of 1112 and 1115 is 1

Greatest Common Factor of 1112 and 1115 by matching factors method

Factors of 1112

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

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

Factors of 1115

List of positive integer factors of 1115 that divides 1115 without a remainder.

1,5,223,1115

Greatest Common Factor

We found the factors and prime factorization of 1112 and 1115. The biggest common factor number is the GCF number.
So the greatest common factor 1112 and 1115 is 1.

Also check out the Least Common Multiple of 1112 and 1115

Properties of GCF 1112 and 1115

(i) The GCF of 1112 and 1115 is associative

GCF of 1112 and 1115 = GCF of 1115 and 1112

Related Greatest Common Factor of 1112

Related Greatest Common Factor of 1115

Frequently Asked Questions on GCF of 1112 and 1115

1. What is the GCF of 1112 and 1115?

Answer: GCF of 1112 and 1115 is 1.

2. 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.

3. What are the Factors of 1115?

Answer: Factors of 1115 are 1, 5, 223, 1115. There are 4 integers that are factors of 1115. The greatest factor of 1115 is 1115.

4. How to Find the GCF of 1112 and 1115?

Answer:

Greatest Common Factor of 1112 and 1115 = 1

Step 1: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 1115

1115 = 5 x 223

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 1112 and 1115 is 1