Greatest Common Factor of 107 and 112

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 107, 112 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 107 and 112 is 1.

GCF(107,112) = 1

GCF of 107 and 112

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

GCF of:
and

Greatest Common Factor of 107 and 112

GCF of 107 and 112 is 1

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

Prime Factorization of 112


2 112
2 56
2 28
2 14
7 7
1

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

112 = 24×71

∴ So by taking common prime factors GCF of 107 and 112 is 1

Greatest Common Factor of 107 and 112 by matching factors method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

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

Greatest Common Factor

We found the factors and prime factorization of 107 and 112. The biggest common factor number is the GCF number.
So the greatest common factor 107 and 112 is 1.

Also check out the Least Common Multiple of 107 and 112

Properties of GCF 107 and 112

(i) The GCF of 107 and 112 is associative

GCF of 107 and 112 = GCF of 112 and 107

Related Greatest Common Factor of 107

Related Greatest Common Factor of 112

Frequently Asked Questions on GCF of 107 and 112

1. What is the GCF of 107 and 112?

Answer: GCF of 107 and 112 is 1.

2. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

3. 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.

4. How to Find the GCF of 107 and 112?

Answer:

Greatest Common Factor of 107 and 112 = 1

Step 1: Find the prime factorization of 107

107 = 107

Step 2: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

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 107 and 112 is 1