What is the Greatest Common Factor of 8 and 30?
Greatest common factor (GCF) of 8 and 30 is 2.
GCF(8,30) = 2
We will now calculate the prime factors of 8 and 30, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 30.
How to find the GCF of 8 and 30?
We will first find the prime factorization of 8 and 30. After we will calculate the factors of 8 and 30 and find the biggest common factor number .
Step-1: Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23
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 8
List of positive integer factors of 8 that divides 8 without a remainder.
1, 2, 4
Step-4: Factors of 30
List of positive integer factors of 30 that divides 8 without a remainder.
1, 2, 3, 5, 6, 10, 15
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8 and 30. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 30 is 2.
Also check out the Least Common Multiple of 8 and 30