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, 117 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 111 and 117 is 3.
GCF(111,117) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 117
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:
117 = 32×131
∴ So by taking common prime factors GCF of 111 and 117 is 3
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors and prime factorization of 111 and 117. The biggest common factor number is the GCF number.
So the greatest common factor 111 and 117 is 3.
Also check out the Least Common Multiple of 111 and 117
(i) The GCF of 111 and 117 is associative
GCF of 111 and 117 = GCF of 117 and 111
1. What is the GCF of 111 and 117?
Answer: GCF of 111 and 117 is 3.
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 117?
Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.
4. How to Find the GCF of 111 and 117?
Answer:
Greatest Common Factor of 111 and 117 = 3
Step 1: Find the prime factorization of 111
111 = 3 x 37
Step 2: Find the prime factorization of 117
117 = 3 x 3 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 111 and 117 is 3