What is the Greatest Common Factor of 21549 and 21566?

Greatest common factor (GCF) of 21549 and 21566 is 1.

GCF(21549,21566) = 1

We will now calculate the prime factors of 21549 and 21566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21549 and 21566.

How to find the GCF of 21549 and 21566?

We will first find the prime factorization of 21549 and 21566. After we will calculate the factors of 21549 and 21566 and find the biggest common factor number .

Step-1: Prime Factorization of 21549

Prime factors of 21549 are 3, 11, 653. Prime factorization of 21549 in exponential form is:

21549 = 3¹ × 11¹ × 653¹

Step-2: 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-3: Factors of 21549

List of positive integer factors of 21549 that divides 21549 without a remainder.

1, 3, 11, 33, 653, 1959, 7183

Step-4: Factors of 21566

List of positive integer factors of 21566 that divides 21549 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21549 and 21566. The biggest common factor number is the GCF number.
So the greatest common factor 21549 and 21566 is 1.

Also check out the Least Common Multiple of 21549 and 21566