Greatest Common Factor of 109 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 109, 112 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 109 and 112 is 1.
GCF(109,112) = 1
GCF of 109 and 112
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 109 and 112 by prime factorization method
- Greatest Common Factor of 109 and 112 by matching factors method
GCF of 109 and 112 is 1
Prime Factorization of 109
| 109 | 109 |
| 1 |
Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:
109 = 1091
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 109 and 112 is 1
Greatest Common Factor of 109 and 112 by matching factors method
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
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 109 and 112. The biggest common factor number is the GCF number.
So the greatest common factor 109 and 112 is 1.
Also check out the Least Common Multiple of 109 and 112
Properties of GCF 109 and 112
(i) The GCF of 109 and 112 is associative
GCF of 109 and 112 = GCF of 112 and 109
Related Greatest Common Factor of 109
Related Greatest Common Factor of 112
Frequently Asked Questions on GCF of 109 and 112
1. What is the GCF of 109 and 112?
Answer: GCF of 109 and 112 is 1.
2. What are the Factors of 109?
Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.
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 109 and 112?
Answer:
Greatest Common Factor of 109 and 112 = 1
Step 1: Find the prime factorization of 109
109 = 109
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 109 and 112 is 1
