What is the Greatest Common Factor of 21039 and 21051?

Greatest common factor (GCF) of 21039 and 21051 is 3.

GCF(21039,21051) = 3

We will now calculate the prime factors of 21039 and 21051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21039 and 21051.

How to find the GCF of 21039 and 21051?

We will first find the prime factorization of 21039 and 21051. After we will calculate the factors of 21039 and 21051 and find the biggest common factor number .

Step-1: Prime Factorization of 21039

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

21039 = 3¹ × 7013¹

Step-2: Prime Factorization of 21051

Prime factors of 21051 are 3, 2339. Prime factorization of 21051 in exponential form is:

21051 = 3² × 2339¹

Step-3: Factors of 21039

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

1, 3, 7013

Step-4: Factors of 21051

List of positive integer factors of 21051 that divides 21039 without a remainder.

1, 3, 9, 2339, 7017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21039 and 21051. The biggest common factor number is the GCF number.
So the greatest common factor 21039 and 21051 is 3.

Also check out the Least Common Multiple of 21039 and 21051