What is the Greatest Common Factor of 21566 and 21577?

Greatest common factor (GCF) of 21566 and 21577 is 1.

GCF(21566,21577) = 1

We will now calculate the prime factors of 21566 and 21577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21566 and 21577.

How to find the GCF of 21566 and 21577?

We will first find the prime factorization of 21566 and 21577. After we will calculate the factors of 21566 and 21577 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 21577

Prime factors of 21577 are 21577. Prime factorization of 21577 in exponential form is:

21577 = 21577¹

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 21577

List of positive integer factors of 21577 that divides 21566 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21566 and 21577. The biggest common factor number is the GCF number.
So the greatest common factor 21566 and 21577 is 1.

Also check out the Least Common Multiple of 21566 and 21577