What is the Greatest Common Factor of 32007 and 32021?

Greatest common factor (GCF) of 32007 and 32021 is 1.

GCF(32007,32021) = 1

We will now calculate the prime factors of 32007 and 32021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32007 and 32021.

How to find the GCF of 32007 and 32021?

We will first find the prime factorization of 32007 and 32021. After we will calculate the factors of 32007 and 32021 and find the biggest common factor number .

Step-1: Prime Factorization of 32007

Prime factors of 32007 are 3, 47, 227. Prime factorization of 32007 in exponential form is:

32007 = 3¹ × 47¹ × 227¹

Step-2: 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-3: Factors of 32007

List of positive integer factors of 32007 that divides 32007 without a remainder.

1, 3, 47, 141, 227, 681, 10669

Step-4: Factors of 32021

List of positive integer factors of 32021 that divides 32007 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32007 and 32021. The biggest common factor number is the GCF number.
So the greatest common factor 32007 and 32021 is 1.

Also check out the Least Common Multiple of 32007 and 32021