What is the Greatest Common Factor of 21566 and 21582?

Greatest common factor (GCF) of 21566 and 21582 is 2.

GCF(21566,21582) = 2

We will now calculate the prime factors of 21566 and 21582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21566 and 21582.

How to find the GCF of 21566 and 21582?

We will first find the prime factorization of 21566 and 21582. After we will calculate the factors of 21566 and 21582 and find the biggest common factor number .

Step-1: Prime Factorization of 21566

Prime factors of 21566 are 2, 41, 263. Prime factorization of 21566 in exponential form is:

21566 = 2¹ × 41¹ × 263¹

Step-2: Prime Factorization of 21582

Prime factors of 21582 are 2, 3, 11, 109. Prime factorization of 21582 in exponential form is:

21582 = 2¹ × 3² × 11¹ × 109¹

Step-3: Factors of 21566

List of positive integer factors of 21566 that divides 21566 without a remainder.

1, 2, 41, 82, 263, 526, 10783

Step-4: Factors of 21582

List of positive integer factors of 21582 that divides 21566 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 109, 198, 218, 327, 654, 981, 1199, 1962, 2398, 3597, 7194, 10791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21566 and 21582. The biggest common factor number is the GCF number.
So the greatest common factor 21566 and 21582 is 2.

Also check out the Least Common Multiple of 21566 and 21582