What is the Greatest Common Factor of 4 and 36?

Greatest common factor (GCF) of 4 and 36 is 4.

GCF(4,36) = 4

We will now calculate the prime factors of 4 and 36, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 36.

How to find the GCF of 4 and 36?

We will first find the prime factorization of 4 and 36. After we will calculate the factors of 4 and 36 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 2²

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 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 36

List of positive integer factors of 36 that divides 4 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 4 and 36. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 36 is 4.

Also check out the Least Common Multiple of 4 and 36