What is the greatest common factor of 30 and 36

Greatest common factor (GCF) of 30 and 36 is 6.

Step-by-step explanation:

We will now calculate the prime factors of 30 and 36, than find the greatest common factor of the numbers by matching the biggest common factor of 30 and 36.

Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 2 * 3 * 5

Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2 * 3

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Factors of 36

List of positive integer factors of 36 that divides 30 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Greatest Common Factor

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number.

So the greatest common factor 30 and 36 is 6.