What is the Greatest Common Factor of 32545 and 32563?

Greatest common factor (GCF) of 32545 and 32563 is 1.

GCF(32545,32563) = 1

We will now calculate the prime factors of 32545 and 32563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32545 and 32563.

How to find the GCF of 32545 and 32563?

We will first find the prime factorization of 32545 and 32563. After we will calculate the factors of 32545 and 32563 and find the biggest common factor number .

Step-1: Prime Factorization of 32545

Prime factors of 32545 are 5, 23, 283. Prime factorization of 32545 in exponential form is:

32545 = 5¹ × 23¹ × 283¹

Step-2: Prime Factorization of 32563

Prime factors of 32563 are 32563. Prime factorization of 32563 in exponential form is:

32563 = 32563¹

Step-3: Factors of 32545

List of positive integer factors of 32545 that divides 32545 without a remainder.

1, 5, 23, 115, 283, 1415, 6509

Step-4: Factors of 32563

List of positive integer factors of 32563 that divides 32545 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32545 and 32563. The biggest common factor number is the GCF number.
So the greatest common factor 32545 and 32563 is 1.

Also check out the Least Common Multiple of 32545 and 32563