What is the Greatest Common Factor of 36021 and 36039?

Greatest common factor (GCF) of 36021 and 36039 is 3.

GCF(36021,36039) = 3

We will now calculate the prime factors of 36021 and 36039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36021 and 36039.

How to find the GCF of 36021 and 36039?

We will first find the prime factorization of 36021 and 36039. After we will calculate the factors of 36021 and 36039 and find the biggest common factor number .

Step-1: Prime Factorization of 36021

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

36021 = 3¹ × 12007¹

Step-2: Prime Factorization of 36039

Prime factors of 36039 are 3, 41, 293. Prime factorization of 36039 in exponential form is:

36039 = 3¹ × 41¹ × 293¹

Step-3: Factors of 36021

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

1, 3, 12007

Step-4: Factors of 36039

List of positive integer factors of 36039 that divides 36021 without a remainder.

1, 3, 41, 123, 293, 879, 12013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36021 and 36039. The biggest common factor number is the GCF number.
So the greatest common factor 36021 and 36039 is 3.

Also check out the Least Common Multiple of 36021 and 36039