What is the Greatest Common Factor of 21027 and 21033?

Greatest common factor (GCF) of 21027 and 21033 is 3.

GCF(21027,21033) = 3

We will now calculate the prime factors of 21027 and 21033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21027 and 21033.

How to find the GCF of 21027 and 21033?

We will first find the prime factorization of 21027 and 21033. After we will calculate the factors of 21027 and 21033 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 21033

Prime factors of 21033 are 3, 19, 41. Prime factorization of 21033 in exponential form is:

21033 = 3³ × 19¹ × 41¹

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 21033

List of positive integer factors of 21033 that divides 21027 without a remainder.

1, 3, 9, 19, 27, 41, 57, 123, 171, 369, 513, 779, 1107, 2337, 7011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21027 and 21033. The biggest common factor number is the GCF number.
So the greatest common factor 21027 and 21033 is 3.

Also check out the Least Common Multiple of 21027 and 21033