Answer:
4
Step-by-step explanation:
We will first find the prime factorization of 12 and 16. After we will calculate the factors of 12 and 16 and find the biggest common factor number .
Step-1: Prime Factorization of 12
Prime factors of 12 are 2, 3. Prime factorization of 12 in exponential form is:
12 = 22 × 31
Step-2: Prime Factorization of 16
Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:
16 = 24
Step-3: Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6
Step-4: Factors of 16
List of positive integer factors of 16 that divides 12 without a remainder.
1, 2, 4, 8
Final Step: Greatest Common Factor Number
We found the factors and prime factorization of 12 and 16. The biggest common factor number is the GCF number.
So the greatest common factor 12 and 16 is 4