What is the Greatest Common Factor of 32019 and 32028?

Greatest common factor (GCF) of 32019 and 32028 is 3.

GCF(32019,32028) = 3

We will now calculate the prime factors of 32019 and 32028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32019 and 32028.

How to find the GCF of 32019 and 32028?

We will first find the prime factorization of 32019 and 32028. After we will calculate the factors of 32019 and 32028 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 32028

Prime factors of 32028 are 2, 3, 17, 157. Prime factorization of 32028 in exponential form is:

32028 = 2² × 3¹ × 17¹ × 157¹

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 32028

List of positive integer factors of 32028 that divides 32019 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 157, 204, 314, 471, 628, 942, 1884, 2669, 5338, 8007, 10676, 16014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32019 and 32028. The biggest common factor number is the GCF number.
So the greatest common factor 32019 and 32028 is 3.

Also check out the Least Common Multiple of 32019 and 32028