What is the Greatest Common Factor of 21654 and 21661?

Greatest common factor (GCF) of 21654 and 21661 is 1.

GCF(21654,21661) = 1

We will now calculate the prime factors of 21654 and 21661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21654 and 21661.

How to find the GCF of 21654 and 21661?

We will first find the prime factorization of 21654 and 21661. After we will calculate the factors of 21654 and 21661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21661

Prime factors of 21661 are 21661. Prime factorization of 21661 in exponential form is:

21661 = 21661¹

Step-3: Factors of 21654

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

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

Step-4: Factors of 21661

List of positive integer factors of 21661 that divides 21654 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21654 and 21661. The biggest common factor number is the GCF number.
So the greatest common factor 21654 and 21661 is 1.

Also check out the Least Common Multiple of 21654 and 21661