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 118, 119 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 118 and 119 is 1.
GCF(118,119) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 119
7 | 119 |
17 | 17 |
1 |
Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:
119 = 71×171
∴ So by taking common prime factors GCF of 118 and 119 is 1
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors and prime factorization of 118 and 119. The biggest common factor number is the GCF number.
So the greatest common factor 118 and 119 is 1.
Also check out the Least Common Multiple of 118 and 119
(i) The GCF of 118 and 119 is associative
GCF of 118 and 119 = GCF of 119 and 118
1. What is the GCF of 118 and 119?
Answer: GCF of 118 and 119 is 1.
2. 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.
3. What are the Factors of 119?
Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.
4. How to Find the GCF of 118 and 119?
Answer:
Greatest Common Factor of 118 and 119 = 1
Step 1: Find the prime factorization of 118
118 = 2 x 59
Step 2: Find the prime factorization of 119
119 = 7 x 17
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 118 and 119 is 1