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, 127 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 119 and 127 is 1.
GCF(119,127) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 127
127 | 127 |
1 |
Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:
127 = 1271
∴ So by taking common prime factors GCF of 119 and 127 is 1
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors and prime factorization of 119 and 127. The biggest common factor number is the GCF number.
So the greatest common factor 119 and 127 is 1.
Also check out the Least Common Multiple of 119 and 127
(i) The GCF of 119 and 127 is associative
GCF of 119 and 127 = GCF of 127 and 119
1. What is the GCF of 119 and 127?
Answer: GCF of 119 and 127 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 127?
Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.
4. How to Find the GCF of 119 and 127?
Answer:
Greatest Common Factor of 119 and 127 = 1
Step 1: Find the prime factorization of 119
119 = 7 x 17
Step 2: Find the prime factorization of 127
127 = 127
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 127 is 1