What is the Greatest Common Factor of 30027 and 30036?

Greatest common factor (GCF) of 30027 and 30036 is 3.

GCF(30027,30036) = 3

We will now calculate the prime factors of 30027 and 30036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30027 and 30036.

How to find the GCF of 30027 and 30036?

We will first find the prime factorization of 30027 and 30036. After we will calculate the factors of 30027 and 30036 and find the biggest common factor number .

Step-1: Prime Factorization of 30027

Prime factors of 30027 are 3, 10009. Prime factorization of 30027 in exponential form is:

30027 = 3¹ × 10009¹

Step-2: Prime Factorization of 30036

Prime factors of 30036 are 2, 3, 2503. Prime factorization of 30036 in exponential form is:

30036 = 2² × 3¹ × 2503¹

Step-3: Factors of 30027

List of positive integer factors of 30027 that divides 30027 without a remainder.

1, 3, 10009

Step-4: Factors of 30036

List of positive integer factors of 30036 that divides 30027 without a remainder.

1, 2, 3, 4, 6, 12, 2503, 5006, 7509, 10012, 15018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30027 and 30036. The biggest common factor number is the GCF number.
So the greatest common factor 30027 and 30036 is 3.

Also check out the Least Common Multiple of 30027 and 30036