Answer:
12
Step-by-step explanation:
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 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
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 36
List of positive integer factors of 36 that divides 12 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12 and 36. The biggest common factor number is the GCF number.
So the greatest common factor 12 and 36 is 12.
