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 9, 14 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9 and 14 is 1.
GCF(9,14) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9
3 | 9 |
3 | 3 |
1 |
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32
Prime Factorization of 14
2 | 14 |
7 | 7 |
1 |
Prime factors of 14 are 2.Prime factorization of 14 in exponential form is:
14 = 21×71
∴ So by taking common prime factors GCF of 9 and 14 is 1
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors and prime factorization of 9 and 14. The biggest common factor number is the GCF number.
So the greatest common factor 9 and 14 is 1.
Also check out the Least Common Multiple of 9 and 14
(i) The GCF of 9 and 14 is associative
GCF of 9 and 14 = GCF of 14 and 9
1. What is the GCF of 9 and 14?
Answer: GCF of 9 and 14 is 1.
2. What are the Factors of 9?
Answer: Factors of 9 are 1, 3, 9. There are 3 integers that are factors of 9. The greatest factor of 9 is 9.
3. What are the Factors of 14?
Answer: Factors of 14 are 1, 2, 7, 14. There are 4 integers that are factors of 14. The greatest factor of 14 is 14.
4. How to Find the GCF of 9 and 14?
Answer:
Greatest Common Factor of 9 and 14 = 1
Step 1: Find the prime factorization of 9
9 = 3 x 3
Step 2: Find the prime factorization of 14
14 = 2 x 7
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 9 and 14 is 1