What is the Greatest Common Factor of 32538 and 32546?

Greatest common factor (GCF) of 32538 and 32546 is 2.

GCF(32538,32546) = 2

We will now calculate the prime factors of 32538 and 32546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32538 and 32546.

How to find the GCF of 32538 and 32546?

We will first find the prime factorization of 32538 and 32546. After we will calculate the factors of 32538 and 32546 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 32546

Prime factors of 32546 are 2, 16273. Prime factorization of 32546 in exponential form is:

32546 = 2¹ × 16273¹

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 32546

List of positive integer factors of 32546 that divides 32538 without a remainder.

1, 2, 16273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32538 and 32546. The biggest common factor number is the GCF number.
So the greatest common factor 32538 and 32546 is 2.

Also check out the Least Common Multiple of 32538 and 32546