What is the Greatest Common Factor of 32512 and 32528?

Greatest common factor (GCF) of 32512 and 32528 is 16.

GCF(32512,32528) = 16

We will now calculate the prime factors of 32512 and 32528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32512 and 32528.

How to find the GCF of 32512 and 32528?

We will first find the prime factorization of 32512 and 32528. After we will calculate the factors of 32512 and 32528 and find the biggest common factor number .

Step-1: Prime Factorization of 32512

Prime factors of 32512 are 2, 127. Prime factorization of 32512 in exponential form is:

32512 = 2⁸ × 127¹

Step-2: 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-3: Factors of 32512

List of positive integer factors of 32512 that divides 32512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 127, 128, 254, 256, 508, 1016, 2032, 4064, 8128, 16256

Step-4: Factors of 32528

List of positive integer factors of 32528 that divides 32512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32512 and 32528. The biggest common factor number is the GCF number.
So the greatest common factor 32512 and 32528 is 16.

Also check out the Least Common Multiple of 32512 and 32528