Greatest Common Factor of 112 and 118

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 112, 118 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 112 and 118 is 2.

GCF(112,118) = 2

GCF of 112 and 118

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

GCF of:
and

Greatest Common Factor of 112 and 118

GCF of 112 and 118 is 2

Prime Factorization of 112


2 112
2 56
2 28
2 14
7 7
1

Prime factors of 112 are 2,7. Prime factorization of 112 in exponential form is:

112 = 24×71

Prime Factorization of 118


2 118
59 59
1

Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:

118 = 21×591

∴ So by taking common prime factors GCF of 112 and 118 is 2

Greatest Common Factor of 112 and 118 by matching factors method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors and prime factorization of 112 and 118. The biggest common factor number is the GCF number.
So the greatest common factor 112 and 118 is 2.

Also check out the Least Common Multiple of 112 and 118

Properties of GCF 112 and 118

(i) The GCF of 112 and 118 is associative

GCF of 112 and 118 = GCF of 118 and 112

Related Greatest Common Factor of 112

Related Greatest Common Factor of 118

Frequently Asked Questions on GCF of 112 and 118

1. What is the GCF of 112 and 118?

Answer: GCF of 112 and 118 is 2.

2. What are the Factors of 112?

Answer: Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. There are 10 integers that are factors of 112. The greatest factor of 112 is 112.

3. What are the Factors of 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

4. How to Find the GCF of 112 and 118?

Answer:

Greatest Common Factor of 112 and 118 = 2

Step 1: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 118

118 = 2 x 59

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 112 and 118 is 2