What is the Greatest Common Factor of 21027 and 21036?

Greatest common factor (GCF) of 21027 and 21036 is 3.

GCF(21027,21036) = 3

We will now calculate the prime factors of 21027 and 21036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21027 and 21036.

How to find the GCF of 21027 and 21036?

We will first find the prime factorization of 21027 and 21036. After we will calculate the factors of 21027 and 21036 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 21036

Prime factors of 21036 are 2, 3, 1753. Prime factorization of 21036 in exponential form is:

21036 = 2² × 3¹ × 1753¹

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 21036

List of positive integer factors of 21036 that divides 21027 without a remainder.

1, 2, 3, 4, 6, 12, 1753, 3506, 5259, 7012, 10518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21027 and 21036. The biggest common factor number is the GCF number.
So the greatest common factor 21027 and 21036 is 3.

Also check out the Least Common Multiple of 21027 and 21036