What is the Greatest Common Factor of 32495 and 32512?

Greatest common factor (GCF) of 32495 and 32512 is 1.

GCF(32495,32512) = 1

We will now calculate the prime factors of 32495 and 32512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32495 and 32512.

How to find the GCF of 32495 and 32512?

We will first find the prime factorization of 32495 and 32512. After we will calculate the factors of 32495 and 32512 and find the biggest common factor number .

Step-1: Prime Factorization of 32495

Prime factors of 32495 are 5, 67, 97. Prime factorization of 32495 in exponential form is:

32495 = 5¹ × 67¹ × 97¹

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 32495

List of positive integer factors of 32495 that divides 32495 without a remainder.

1, 5, 67, 97, 335, 485, 6499

Step-4: Factors of 32512

List of positive integer factors of 32512 that divides 32495 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 32495 and 32512. The biggest common factor number is the GCF number.
So the greatest common factor 32495 and 32512 is 1.

Also check out the Least Common Multiple of 32495 and 32512