What is the Greatest Common Factor of 32028 and 32047?

Greatest common factor (GCF) of 32028 and 32047 is 1.

GCF(32028,32047) = 1

We will now calculate the prime factors of 32028 and 32047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32028 and 32047.

How to find the GCF of 32028 and 32047?

We will first find the prime factorization of 32028 and 32047. After we will calculate the factors of 32028 and 32047 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 32047

Prime factors of 32047 are 73, 439. Prime factorization of 32047 in exponential form is:

32047 = 73¹ × 439¹

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 32047

List of positive integer factors of 32047 that divides 32028 without a remainder.

1, 73, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32028 and 32047. The biggest common factor number is the GCF number.
So the greatest common factor 32028 and 32047 is 1.

Also check out the Least Common Multiple of 32028 and 32047