What is the Greatest Common Factor of 23643 and 23663?

Greatest common factor (GCF) of 23643 and 23663 is 1.

GCF(23643,23663) = 1

We will now calculate the prime factors of 23643 and 23663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23643 and 23663.

How to find the GCF of 23643 and 23663?

We will first find the prime factorization of 23643 and 23663. After we will calculate the factors of 23643 and 23663 and find the biggest common factor number .

Step-1: Prime Factorization of 23643

Prime factors of 23643 are 3, 37, 71. Prime factorization of 23643 in exponential form is:

23643 = 3² × 37¹ × 71¹

Step-2: Prime Factorization of 23663

Prime factors of 23663 are 23663. Prime factorization of 23663 in exponential form is:

23663 = 23663¹

Step-3: Factors of 23643

List of positive integer factors of 23643 that divides 23643 without a remainder.

1, 3, 9, 37, 71, 111, 213, 333, 639, 2627, 7881

Step-4: Factors of 23663

List of positive integer factors of 23663 that divides 23643 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23643 and 23663. The biggest common factor number is the GCF number.
So the greatest common factor 23643 and 23663 is 1.

Also check out the Least Common Multiple of 23643 and 23663