What is the Greatest Common Factor of 32534 and 32538?

Greatest common factor (GCF) of 32534 and 32538 is 2.

GCF(32534,32538) = 2

We will now calculate the prime factors of 32534 and 32538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32534 and 32538.

How to find the GCF of 32534 and 32538?

We will first find the prime factorization of 32534 and 32538. After we will calculate the factors of 32534 and 32538 and find the biggest common factor number .

Step-1: Prime Factorization of 32534

Prime factors of 32534 are 2, 16267. Prime factorization of 32534 in exponential form is:

32534 = 2¹ × 16267¹

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 32534

List of positive integer factors of 32534 that divides 32534 without a remainder.

1, 2, 16267

Step-4: Factors of 32538

List of positive integer factors of 32538 that divides 32534 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 32534 and 32538. The biggest common factor number is the GCF number.
So the greatest common factor 32534 and 32538 is 2.

Also check out the Least Common Multiple of 32534 and 32538