What is the Greatest Common Factor of 21645 and 21654?

Greatest common factor (GCF) of 21645 and 21654 is 9.

GCF(21645,21654) = 9

We will now calculate the prime factors of 21645 and 21654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21645 and 21654.

How to find the GCF of 21645 and 21654?

We will first find the prime factorization of 21645 and 21654. After we will calculate the factors of 21645 and 21654 and find the biggest common factor number .

Step-1: Prime Factorization of 21645

Prime factors of 21645 are 3, 5, 13, 37. Prime factorization of 21645 in exponential form is:

21645 = 3² × 5¹ × 13¹ × 37¹

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 21645

List of positive integer factors of 21645 that divides 21645 without a remainder.

1, 3, 5, 9, 13, 15, 37, 39, 45, 65, 111, 117, 185, 195, 333, 481, 555, 585, 1443, 1665, 2405, 4329, 7215

Step-4: Factors of 21654

List of positive integer factors of 21654 that divides 21645 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 21645 and 21654. The biggest common factor number is the GCF number.
So the greatest common factor 21645 and 21654 is 9.

Also check out the Least Common Multiple of 21645 and 21654