What is the Greatest Common Factor of 32576 and 32591?

Greatest common factor (GCF) of 32576 and 32591 is 1.

GCF(32576,32591) = 1

We will now calculate the prime factors of 32576 and 32591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32576 and 32591.

How to find the GCF of 32576 and 32591?

We will first find the prime factorization of 32576 and 32591. After we will calculate the factors of 32576 and 32591 and find the biggest common factor number .

Step-1: Prime Factorization of 32576

Prime factors of 32576 are 2, 509. Prime factorization of 32576 in exponential form is:

32576 = 2⁶ × 509¹

Step-2: Prime Factorization of 32591

Prime factors of 32591 are 13, 23, 109. Prime factorization of 32591 in exponential form is:

32591 = 13¹ × 23¹ × 109¹

Step-3: Factors of 32576

List of positive integer factors of 32576 that divides 32576 without a remainder.

1, 2, 4, 8, 16, 32, 64, 509, 1018, 2036, 4072, 8144, 16288

Step-4: Factors of 32591

List of positive integer factors of 32591 that divides 32576 without a remainder.

1, 13, 23, 109, 299, 1417, 2507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32576 and 32591. The biggest common factor number is the GCF number.
So the greatest common factor 32576 and 32591 is 1.

Also check out the Least Common Multiple of 32576 and 32591