What is the Greatest Common Factor of 9 and 30?
Greatest common factor (GCF) of 9 and 30 is 3.
GCF(9,30) = 3
We will now calculate the prime factors of 9 and 30, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9 and 30.
How to find the GCF of 9 and 30?
We will first find the prime factorization of 9 and 30. After we will calculate the factors of 9 and 30 and find the biggest common factor number .
Step-1: Prime Factorization of 9
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32
Step-2: Prime Factorization of 30
Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:
30 = 21 × 31 × 51
Step-3: Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1, 3
Step-4: Factors of 30
List of positive integer factors of 30 that divides 9 without a remainder.
1, 2, 3, 5, 6, 10, 15
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9 and 30. The biggest common factor number is the GCF number.
So the greatest common factor 9 and 30 is 3.
Also check out the Least Common Multiple of 9 and 30