What is the Greatest Common Factor of 36 and 60?
Greatest common factor (GCF) of 36 and 60 is 12.
GCF(36,60) = 12
We will now calculate the prime factors of 36 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 60.
How to find the GCF of 36 and 60?
We will first find the prime factorization of 36 and 60. After we will calculate the factors of 36 and 60 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 60
Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:
60 = 22 × 31 × 51
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 60
List of positive integer factors of 60 that divides 36 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 60. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 60 is 12.
Also check out the Least Common Multiple of 36 and 60