What is the Greatest Common Factor of 6 and 18?
Greatest common factor (GCF) of 6 and 18 is 6.
GCF(6,18) = 6
We will now calculate the prime factors of 6 and 18, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 18.
How to find the GCF of 6 and 18?
We will first find the prime factorization of 6 and 18. After we will calculate the factors of 6 and 18 and find the biggest common factor number .
Step-1: Prime Factorization of 6
Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:
6 = 21 × 31
Step-2: Prime Factorization of 18
Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is:
18 = 21 × 32
Step-3: Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1, 2, 3
Step-4: Factors of 18
List of positive integer factors of 18 that divides 6 without a remainder.
1, 2, 3, 6, 9
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 18 is 6.
Also check out the Least Common Multiple of 6 and 18