What is the Greatest Common Factor of 32428 and 32441?

Greatest common factor (GCF) of 32428 and 32441 is 1.

GCF(32428,32441) = 1

We will now calculate the prime factors of 32428 and 32441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32428 and 32441.

How to find the GCF of 32428 and 32441?

We will first find the prime factorization of 32428 and 32441. After we will calculate the factors of 32428 and 32441 and find the biggest common factor number .

Step-1: Prime Factorization of 32428

Prime factors of 32428 are 2, 11, 67. Prime factorization of 32428 in exponential form is:

32428 = 2² × 11² × 67¹

Step-2: Prime Factorization of 32441

Prime factors of 32441 are 32441. Prime factorization of 32441 in exponential form is:

32441 = 32441¹

Step-3: Factors of 32428

List of positive integer factors of 32428 that divides 32428 without a remainder.

1, 2, 4, 11, 22, 44, 67, 121, 134, 242, 268, 484, 737, 1474, 2948, 8107, 16214

Step-4: Factors of 32441

List of positive integer factors of 32441 that divides 32428 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32428 and 32441. The biggest common factor number is the GCF number.
So the greatest common factor 32428 and 32441 is 1.

Also check out the Least Common Multiple of 32428 and 32441