What is the Greatest Common Factor of 32021 and 32027?

Greatest common factor (GCF) of 32021 and 32027 is 1.

GCF(32021,32027) = 1

We will now calculate the prime factors of 32021 and 32027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32021 and 32027.

How to find the GCF of 32021 and 32027?

We will first find the prime factorization of 32021 and 32027. After we will calculate the factors of 32021 and 32027 and find the biggest common factor number .

Step-1: Prime Factorization of 32021

Prime factors of 32021 are 11, 41, 71. Prime factorization of 32021 in exponential form is:

32021 = 11¹ × 41¹ × 71¹

Step-2: Prime Factorization of 32027

Prime factors of 32027 are 32027. Prime factorization of 32027 in exponential form is:

32027 = 32027¹

Step-3: Factors of 32021

List of positive integer factors of 32021 that divides 32021 without a remainder.

1, 11, 41, 71, 451, 781, 2911

Step-4: Factors of 32027

List of positive integer factors of 32027 that divides 32021 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32021 and 32027. The biggest common factor number is the GCF number.
So the greatest common factor 32021 and 32027 is 1.

Also check out the Least Common Multiple of 32021 and 32027