What is the Greatest Common Factor of 21027 and 21039?

Greatest common factor (GCF) of 21027 and 21039 is 3.

GCF(21027,21039) = 3

We will now calculate the prime factors of 21027 and 21039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21027 and 21039.

How to find the GCF of 21027 and 21039?

We will first find the prime factorization of 21027 and 21039. After we will calculate the factors of 21027 and 21039 and find the biggest common factor number .

Step-1: Prime Factorization of 21027

Prime factors of 21027 are 3, 43, 163. Prime factorization of 21027 in exponential form is:

21027 = 3¹ × 43¹ × 163¹

Step-2: Prime Factorization of 21039

Prime factors of 21039 are 3, 7013. Prime factorization of 21039 in exponential form is:

21039 = 3¹ × 7013¹

Step-3: Factors of 21027

List of positive integer factors of 21027 that divides 21027 without a remainder.

1, 3, 43, 129, 163, 489, 7009

Step-4: Factors of 21039

List of positive integer factors of 21039 that divides 21027 without a remainder.

1, 3, 7013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21027 and 21039. The biggest common factor number is the GCF number.
So the greatest common factor 21027 and 21039 is 3.

Also check out the Least Common Multiple of 21027 and 21039