What is the Greatest Common Factor of 32501 and 32512?

Greatest common factor (GCF) of 32501 and 32512 is 1.

GCF(32501,32512) = 1

We will now calculate the prime factors of 32501 and 32512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32501 and 32512.

How to find the GCF of 32501 and 32512?

We will first find the prime factorization of 32501 and 32512. After we will calculate the factors of 32501 and 32512 and find the biggest common factor number .

Step-1: Prime Factorization of 32501

Prime factors of 32501 are 7, 4643. Prime factorization of 32501 in exponential form is:

32501 = 7¹ × 4643¹

Step-2: Prime Factorization of 32512

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

32512 = 2⁸ × 127¹

Step-3: Factors of 32501

List of positive integer factors of 32501 that divides 32501 without a remainder.

1, 7, 4643

Step-4: Factors of 32512

List of positive integer factors of 32512 that divides 32501 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32501 and 32512. The biggest common factor number is the GCF number.
So the greatest common factor 32501 and 32512 is 1.

Also check out the Least Common Multiple of 32501 and 32512