What is the Greatest Common Factor of 21639 and 21654?

Greatest common factor (GCF) of 21639 and 21654 is 3.

GCF(21639,21654) = 3

We will now calculate the prime factors of 21639 and 21654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21639 and 21654.

How to find the GCF of 21639 and 21654?

We will first find the prime factorization of 21639 and 21654. After we will calculate the factors of 21639 and 21654 and find the biggest common factor number .

Step-1: Prime Factorization of 21639

Prime factors of 21639 are 3, 7213. Prime factorization of 21639 in exponential form is:

21639 = 3¹ × 7213¹

Step-2: Prime Factorization of 21654

Prime factors of 21654 are 2, 3, 401. Prime factorization of 21654 in exponential form is:

21654 = 2¹ × 3³ × 401¹

Step-3: Factors of 21639

List of positive integer factors of 21639 that divides 21639 without a remainder.

1, 3, 7213

Step-4: Factors of 21654

List of positive integer factors of 21654 that divides 21639 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 401, 802, 1203, 2406, 3609, 7218, 10827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21639 and 21654. The biggest common factor number is the GCF number.
So the greatest common factor 21639 and 21654 is 3.

Also check out the Least Common Multiple of 21639 and 21654