What is the Greatest Common Factor of 32019 and 32031?

Greatest common factor (GCF) of 32019 and 32031 is 3.

GCF(32019,32031) = 3

We will now calculate the prime factors of 32019 and 32031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32019 and 32031.

How to find the GCF of 32019 and 32031?

We will first find the prime factorization of 32019 and 32031. After we will calculate the factors of 32019 and 32031 and find the biggest common factor number .

Step-1: Prime Factorization of 32019

Prime factors of 32019 are 3, 13, 821. Prime factorization of 32019 in exponential form is:

32019 = 3¹ × 13¹ × 821¹

Step-2: Prime Factorization of 32031

Prime factors of 32031 are 3, 3559. Prime factorization of 32031 in exponential form is:

32031 = 3² × 3559¹

Step-3: Factors of 32019

List of positive integer factors of 32019 that divides 32019 without a remainder.

1, 3, 13, 39, 821, 2463, 10673

Step-4: Factors of 32031

List of positive integer factors of 32031 that divides 32019 without a remainder.

1, 3, 9, 3559, 10677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32019 and 32031. The biggest common factor number is the GCF number.
So the greatest common factor 32019 and 32031 is 3.

Also check out the Least Common Multiple of 32019 and 32031