What is the Greatest Common Factor of 32577 and 32588?

Greatest common factor (GCF) of 32577 and 32588 is 1.

GCF(32577,32588) = 1

We will now calculate the prime factors of 32577 and 32588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32577 and 32588.

How to find the GCF of 32577 and 32588?

We will first find the prime factorization of 32577 and 32588. After we will calculate the factors of 32577 and 32588 and find the biggest common factor number .

Step-1: Prime Factorization of 32577

Prime factors of 32577 are 3, 10859. Prime factorization of 32577 in exponential form is:

32577 = 3¹ × 10859¹

Step-2: Prime Factorization of 32588

Prime factors of 32588 are 2, 8147. Prime factorization of 32588 in exponential form is:

32588 = 2² × 8147¹

Step-3: Factors of 32577

List of positive integer factors of 32577 that divides 32577 without a remainder.

1, 3, 10859

Step-4: Factors of 32588

List of positive integer factors of 32588 that divides 32577 without a remainder.

1, 2, 4, 8147, 16294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32577 and 32588. The biggest common factor number is the GCF number.
So the greatest common factor 32577 and 32588 is 1.

Also check out the Least Common Multiple of 32577 and 32588