What is the Greatest Common Factor of 32728 and 32741?

Greatest common factor (GCF) of 32728 and 32741 is 1.

GCF(32728,32741) = 1

We will now calculate the prime factors of 32728 and 32741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32728 and 32741.

How to find the GCF of 32728 and 32741?

We will first find the prime factorization of 32728 and 32741. After we will calculate the factors of 32728 and 32741 and find the biggest common factor number .

Step-1: Prime Factorization of 32728

Prime factors of 32728 are 2, 4091. Prime factorization of 32728 in exponential form is:

32728 = 2³ × 4091¹

Step-2: Prime Factorization of 32741

Prime factors of 32741 are 29, 1129. Prime factorization of 32741 in exponential form is:

32741 = 29¹ × 1129¹

Step-3: Factors of 32728

List of positive integer factors of 32728 that divides 32728 without a remainder.

1, 2, 4, 8, 4091, 8182, 16364

Step-4: Factors of 32741

List of positive integer factors of 32741 that divides 32728 without a remainder.

1, 29, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32728 and 32741. The biggest common factor number is the GCF number.
So the greatest common factor 32728 and 32741 is 1.

Also check out the Least Common Multiple of 32728 and 32741