What is the Greatest Common Factor of 32507 and 32512?

Greatest common factor (GCF) of 32507 and 32512 is 1.

GCF(32507,32512) = 1

We will now calculate the prime factors of 32507 and 32512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32507 and 32512.

How to find the GCF of 32507 and 32512?

We will first find the prime factorization of 32507 and 32512. After we will calculate the factors of 32507 and 32512 and find the biggest common factor number .

Step-1: Prime Factorization of 32507

Prime factors of 32507 are 32507. Prime factorization of 32507 in exponential form is:

32507 = 32507¹

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 32507

List of positive integer factors of 32507 that divides 32507 without a remainder.

Step-4: Factors of 32512

List of positive integer factors of 32512 that divides 32507 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 32507 and 32512. The biggest common factor number is the GCF number.
So the greatest common factor 32507 and 32512 is 1.

Also check out the Least Common Multiple of 32507 and 32512