Greatest Common Factor of 111 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 111, 118 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 111 and 118 is 1.
GCF(111,118) = 1
GCF of 111 and 118
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 111 and 118 by prime factorization method
- Greatest Common Factor of 111 and 118 by matching factors method
GCF of 111 and 118 is 1
Prime Factorization of 111
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 111 are 3,37. Prime factorization of 111 in exponential form is:
111 = 31×371
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 111 and 118 is 1
Greatest Common Factor of 111 and 118 by matching factors method
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
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 111 and 118. The biggest common factor number is the GCF number.
So the greatest common factor 111 and 118 is 1.
Also check out the Least Common Multiple of 111 and 118
Properties of GCF 111 and 118
(i) The GCF of 111 and 118 is associative
GCF of 111 and 118 = GCF of 118 and 111
Related Greatest Common Factor of 111
Related Greatest Common Factor of 118
Frequently Asked Questions on GCF of 111 and 118
1. What is the GCF of 111 and 118?
Answer: GCF of 111 and 118 is 1.
2. What are the Factors of 111?
Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.
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 111 and 118?
Answer:
Greatest Common Factor of 111 and 118 = 1
Step 1: Find the prime factorization of 111
111 = 3 x 37
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 = = 1
Step 4: Therefore, the greatest common factor of 111 and 118 is 1
