What is the Greatest Common Factor of 32022 and 32029?

Greatest common factor (GCF) of 32022 and 32029 is 1.

GCF(32022,32029) = 1

We will now calculate the prime factors of 32022 and 32029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32022 and 32029.

How to find the GCF of 32022 and 32029?

We will first find the prime factorization of 32022 and 32029. After we will calculate the factors of 32022 and 32029 and find the biggest common factor number .

Step-1: Prime Factorization of 32022

Prime factors of 32022 are 2, 3, 593. Prime factorization of 32022 in exponential form is:

32022 = 2¹ × 3³ × 593¹

Step-2: Prime Factorization of 32029

Prime factors of 32029 are 32029. Prime factorization of 32029 in exponential form is:

32029 = 32029¹

Step-3: Factors of 32022

List of positive integer factors of 32022 that divides 32022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 593, 1186, 1779, 3558, 5337, 10674, 16011

Step-4: Factors of 32029

List of positive integer factors of 32029 that divides 32022 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32022 and 32029. The biggest common factor number is the GCF number.
So the greatest common factor 32022 and 32029 is 1.

Also check out the Least Common Multiple of 32022 and 32029