What is the Greatest Common Factor of 36009 and 36021?

Greatest common factor (GCF) of 36009 and 36021 is 3.

GCF(36009,36021) = 3

We will now calculate the prime factors of 36009 and 36021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36009 and 36021.

How to find the GCF of 36009 and 36021?

We will first find the prime factorization of 36009 and 36021. After we will calculate the factors of 36009 and 36021 and find the biggest common factor number .

Step-1: Prime Factorization of 36009

Prime factors of 36009 are 3, 4001. Prime factorization of 36009 in exponential form is:

36009 = 3² × 4001¹

Step-2: Prime Factorization of 36021

Prime factors of 36021 are 3, 12007. Prime factorization of 36021 in exponential form is:

36021 = 3¹ × 12007¹

Step-3: Factors of 36009

List of positive integer factors of 36009 that divides 36009 without a remainder.

1, 3, 9, 4001, 12003

Step-4: Factors of 36021

List of positive integer factors of 36021 that divides 36009 without a remainder.

1, 3, 12007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36009 and 36021. The biggest common factor number is the GCF number.
So the greatest common factor 36009 and 36021 is 3.

Also check out the Least Common Multiple of 36009 and 36021