What is the Greatest Common Factor of 32528 and 32538?

Greatest common factor (GCF) of 32528 and 32538 is 2.

GCF(32528,32538) = 2

We will now calculate the prime factors of 32528 and 32538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32528 and 32538.

How to find the GCF of 32528 and 32538?

We will first find the prime factorization of 32528 and 32538. After we will calculate the factors of 32528 and 32538 and find the biggest common factor number .

Step-1: Prime Factorization of 32528

Prime factors of 32528 are 2, 19, 107. Prime factorization of 32528 in exponential form is:

32528 = 2⁴ × 19¹ × 107¹

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 32528

List of positive integer factors of 32528 that divides 32528 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 107, 152, 214, 304, 428, 856, 1712, 2033, 4066, 8132, 16264

Step-4: Factors of 32538

List of positive integer factors of 32538 that divides 32528 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 32528 and 32538. The biggest common factor number is the GCF number.
So the greatest common factor 32528 and 32538 is 2.

Also check out the Least Common Multiple of 32528 and 32538