What is the Greatest Common Factor of 32428 and 32439?

Greatest common factor (GCF) of 32428 and 32439 is 11.

GCF(32428,32439) = 11

We will now calculate the prime factors of 32428 and 32439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32428 and 32439.

How to find the GCF of 32428 and 32439?

We will first find the prime factorization of 32428 and 32439. After we will calculate the factors of 32428 and 32439 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 32439

Prime factors of 32439 are 3, 11, 983. Prime factorization of 32439 in exponential form is:

32439 = 3¹ × 11¹ × 983¹

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 32439

List of positive integer factors of 32439 that divides 32428 without a remainder.

1, 3, 11, 33, 983, 2949, 10813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32428 and 32439. The biggest common factor number is the GCF number.
So the greatest common factor 32428 and 32439 is 11.

Also check out the Least Common Multiple of 32428 and 32439