What is the Greatest Common Factor of 24657 and 24663?

Greatest common factor (GCF) of 24657 and 24663 is 3.

GCF(24657,24663) = 3

We will now calculate the prime factors of 24657 and 24663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24657 and 24663.

How to find the GCF of 24657 and 24663?

We will first find the prime factorization of 24657 and 24663. After we will calculate the factors of 24657 and 24663 and find the biggest common factor number .

Step-1: Prime Factorization of 24657

Prime factors of 24657 are 3, 8219. Prime factorization of 24657 in exponential form is:

24657 = 3¹ × 8219¹

Step-2: Prime Factorization of 24663

Prime factors of 24663 are 3, 8221. Prime factorization of 24663 in exponential form is:

24663 = 3¹ × 8221¹

Step-3: Factors of 24657

List of positive integer factors of 24657 that divides 24657 without a remainder.

1, 3, 8219

Step-4: Factors of 24663

List of positive integer factors of 24663 that divides 24657 without a remainder.

1, 3, 8221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24657 and 24663. The biggest common factor number is the GCF number.
So the greatest common factor 24657 and 24663 is 3.

Also check out the Least Common Multiple of 24657 and 24663