Greatest Common Factor of 114 and 119

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 114, 119 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 114 and 119 is 1.

GCF(114,119) = 1

GCF of 114 and 119

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 114 and 119

GCF of 114 and 119 is 1

Prime Factorization of 114


2 114
3 57
19 19
1

Prime factors of 114 are 2,3,19. Prime factorization of 114 in exponential form is:

114 = 21×31×191

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 114 and 119 is 1

Greatest Common Factor of 114 and 119 by matching factors method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

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 114 and 119. The biggest common factor number is the GCF number.
So the greatest common factor 114 and 119 is 1.

Also check out the Least Common Multiple of 114 and 119

Properties of GCF 114 and 119

(i) The GCF of 114 and 119 is associative

GCF of 114 and 119 = GCF of 119 and 114

Related Greatest Common Factor of 114

Related Greatest Common Factor of 119

Frequently Asked Questions on GCF of 114 and 119

1. What is the GCF of 114 and 119?

Answer: GCF of 114 and 119 is 1.

2. What are the Factors of 114?

Answer: Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. There are 8 integers that are factors of 114. The greatest factor of 114 is 114.

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 114 and 119?

Answer:

Greatest Common Factor of 114 and 119 = 1

Step 1: Find the prime factorization of 114

114 = 2 x 3 x 19

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 114 and 119 is 1