What is the Greatest Common Factor of 30021 and 30027?

Greatest common factor (GCF) of 30021 and 30027 is 3.

GCF(30021,30027) = 3

We will now calculate the prime factors of 30021 and 30027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30021 and 30027.

How to find the GCF of 30021 and 30027?

We will first find the prime factorization of 30021 and 30027. After we will calculate the factors of 30021 and 30027 and find the biggest common factor number .

Step-1: Prime Factorization of 30021

Prime factors of 30021 are 3, 10007. Prime factorization of 30021 in exponential form is:

30021 = 3¹ × 10007¹

Step-2: Prime Factorization of 30027

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

30027 = 3¹ × 10009¹

Step-3: Factors of 30021

List of positive integer factors of 30021 that divides 30021 without a remainder.

1, 3, 10007

Step-4: Factors of 30027

List of positive integer factors of 30027 that divides 30021 without a remainder.

1, 3, 10009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30021 and 30027. The biggest common factor number is the GCF number.
So the greatest common factor 30021 and 30027 is 3.

Also check out the Least Common Multiple of 30021 and 30027