What is the Greatest Common Factor of 21657 and 21663?

Greatest common factor (GCF) of 21657 and 21663 is 3.

GCF(21657,21663) = 3

We will now calculate the prime factors of 21657 and 21663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21657 and 21663.

How to find the GCF of 21657 and 21663?

We will first find the prime factorization of 21657 and 21663. After we will calculate the factors of 21657 and 21663 and find the biggest common factor number .

Step-1: Prime Factorization of 21657

Prime factors of 21657 are 3, 7219. Prime factorization of 21657 in exponential form is:

21657 = 3¹ × 7219¹

Step-2: Prime Factorization of 21663

Prime factors of 21663 are 3, 29, 83. Prime factorization of 21663 in exponential form is:

21663 = 3² × 29¹ × 83¹

Step-3: Factors of 21657

List of positive integer factors of 21657 that divides 21657 without a remainder.

1, 3, 7219

Step-4: Factors of 21663

List of positive integer factors of 21663 that divides 21657 without a remainder.

1, 3, 9, 29, 83, 87, 249, 261, 747, 2407, 7221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21657 and 21663. The biggest common factor number is the GCF number.
So the greatest common factor 21657 and 21663 is 3.

Also check out the Least Common Multiple of 21657 and 21663