What is the Greatest Common Factor of 32521 and 32538?

Greatest common factor (GCF) of 32521 and 32538 is 17.

GCF(32521,32538) = 17

We will now calculate the prime factors of 32521 and 32538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32521 and 32538.

How to find the GCF of 32521 and 32538?

We will first find the prime factorization of 32521 and 32538. After we will calculate the factors of 32521 and 32538 and find the biggest common factor number .

Step-1: Prime Factorization of 32521

Prime factors of 32521 are 17, 1913. Prime factorization of 32521 in exponential form is:

32521 = 17¹ × 1913¹

Step-2: Prime Factorization of 32538

Prime factors of 32538 are 2, 3, 11, 17, 29. Prime factorization of 32538 in exponential form is:

32538 = 2¹ × 3¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 32521

List of positive integer factors of 32521 that divides 32521 without a remainder.

1, 17, 1913

Step-4: Factors of 32538

List of positive integer factors of 32538 that divides 32521 without a remainder.

1, 2, 3, 6, 11, 17, 22, 29, 33, 34, 51, 58, 66, 87, 102, 174, 187, 319, 374, 493, 561, 638, 957, 986, 1122, 1479, 1914, 2958, 5423, 10846, 16269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32521 and 32538. The biggest common factor number is the GCF number.
So the greatest common factor 32521 and 32538 is 17.

Also check out the Least Common Multiple of 32521 and 32538