Greatest Common Factor of 119 and 123
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 119, 123 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 119 and 123 is 1.
GCF(119,123) = 1
GCF of 119 and 123
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 119 and 123 by prime factorization method
- Greatest Common Factor of 119 and 123 by matching factors method
GCF of 119 and 123 is 1
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
Prime Factorization of 123
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 123 are 3,41. Prime factorization of 123 in exponential form is:
123 = 31×411
∴ So by taking common prime factors GCF of 119 and 123 is 1
Greatest Common Factor of 119 and 123 by matching factors method
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors and prime factorization of 119 and 123. The biggest common factor number is the GCF number.
So the greatest common factor 119 and 123 is 1.
Also check out the Least Common Multiple of 119 and 123
Properties of GCF 119 and 123
(i) The GCF of 119 and 123 is associative
GCF of 119 and 123 = GCF of 123 and 119
Related Greatest Common Factor of 119
Related Greatest Common Factor of 123
Frequently Asked Questions on GCF of 119 and 123
1. What is the GCF of 119 and 123?
Answer: GCF of 119 and 123 is 1.
2. 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.
3. What are the Factors of 123?
Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.
4. How to Find the GCF of 119 and 123?
Answer:
Greatest Common Factor of 119 and 123 = 1
Step 1: Find the prime factorization of 119
119 = 7 x 17
Step 2: Find the prime factorization of 123
123 = 3 x 41
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 119 and 123 is 1