What is the Greatest Common Factor of 32028 and 32033?

Greatest common factor (GCF) of 32028 and 32033 is 1.

GCF(32028,32033) = 1

We will now calculate the prime factors of 32028 and 32033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32028 and 32033.

How to find the GCF of 32028 and 32033?

We will first find the prime factorization of 32028 and 32033. After we will calculate the factors of 32028 and 32033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32033

Prime factors of 32033 are 103, 311. Prime factorization of 32033 in exponential form is:

32033 = 103¹ × 311¹

Step-3: Factors of 32028

List of positive integer factors of 32028 that divides 32028 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

Step-4: Factors of 32033

List of positive integer factors of 32033 that divides 32028 without a remainder.

1, 103, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32028 and 32033. The biggest common factor number is the GCF number.
So the greatest common factor 32028 and 32033 is 1.

Also check out the Least Common Multiple of 32028 and 32033