What is the Greatest Common Factor of 36 and 8?
Greatest common factor (GCF) of 36 and 8 is 4.
GCF(36,8) = 4
We will now calculate the prime factors of 36 and 8, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 8.
How to find the GCF of 36 and 8?
We will first find the prime factorization of 36 and 8. After we will calculate the factors of 36 and 8 and find the biggest common factor number .
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
Step-2: Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 8
List of positive integer factors of 8 that divides 36 without a remainder.
1, 2, 4
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 8. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 8 is 4.
Also check out the Least Common Multiple of 36 and 8