What is the Greatest Common Factor of 32645 and 32663?

Greatest common factor (GCF) of 32645 and 32663 is 1.

GCF(32645,32663) = 1

We will now calculate the prime factors of 32645 and 32663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32645 and 32663.

How to find the GCF of 32645 and 32663?

We will first find the prime factorization of 32645 and 32663. After we will calculate the factors of 32645 and 32663 and find the biggest common factor number .

Step-1: Prime Factorization of 32645

Prime factors of 32645 are 5, 6529. Prime factorization of 32645 in exponential form is:

32645 = 5¹ × 6529¹

Step-2: Prime Factorization of 32663

Prime factors of 32663 are 89, 367. Prime factorization of 32663 in exponential form is:

32663 = 89¹ × 367¹

Step-3: Factors of 32645

List of positive integer factors of 32645 that divides 32645 without a remainder.

1, 5, 6529

Step-4: Factors of 32663

List of positive integer factors of 32663 that divides 32645 without a remainder.

1, 89, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32645 and 32663. The biggest common factor number is the GCF number.
So the greatest common factor 32645 and 32663 is 1.

Also check out the Least Common Multiple of 32645 and 32663