What is the Greatest Common Factor of 32591 and 32601?

Greatest common factor (GCF) of 32591 and 32601 is 1.

GCF(32591,32601) = 1

We will now calculate the prime factors of 32591 and 32601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32591 and 32601.

How to find the GCF of 32591 and 32601?

We will first find the prime factorization of 32591 and 32601. After we will calculate the factors of 32591 and 32601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32601

Prime factors of 32601 are 3, 10867. Prime factorization of 32601 in exponential form is:

32601 = 3¹ × 10867¹

Step-3: Factors of 32591

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

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

Step-4: Factors of 32601

List of positive integer factors of 32601 that divides 32591 without a remainder.

1, 3, 10867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32591 and 32601. The biggest common factor number is the GCF number.
So the greatest common factor 32591 and 32601 is 1.

Also check out the Least Common Multiple of 32591 and 32601