What is the Greatest Common Factor of 32538 and 32555?

Greatest common factor (GCF) of 32538 and 32555 is 17.

GCF(32538,32555) = 17

We will now calculate the prime factors of 32538 and 32555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32538 and 32555.

How to find the GCF of 32538 and 32555?

We will first find the prime factorization of 32538 and 32555. After we will calculate the factors of 32538 and 32555 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32555

Prime factors of 32555 are 5, 17, 383. Prime factorization of 32555 in exponential form is:

32555 = 5¹ × 17¹ × 383¹

Step-3: Factors of 32538

List of positive integer factors of 32538 that divides 32538 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

Step-4: Factors of 32555

List of positive integer factors of 32555 that divides 32538 without a remainder.

1, 5, 17, 85, 383, 1915, 6511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32538 and 32555. The biggest common factor number is the GCF number.
So the greatest common factor 32538 and 32555 is 17.

Also check out the Least Common Multiple of 32538 and 32555