What is the Greatest Common Factor of 5 and 18?
Greatest common factor (GCF) of 5 and 18 is 1.
GCF(5,18) = 1
We will now calculate the prime factors of 5 and 18, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 18.
How to find the GCF of 5 and 18?
We will first find the prime factorization of 5 and 18. After we will calculate the factors of 5 and 18 and find the biggest common factor number .
Step-1: Prime Factorization of 5
Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
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 5
List of positive integer factors of 5 that divides 5 without a remainder.
1
Step-4: Factors of 18
List of positive integer factors of 18 that divides 5 without a remainder.
1, 2, 3, 6, 9
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 18 is 1.
Also check out the Least Common Multiple of 5 and 18