What is the Greatest Common Factor of 21552 and 21563?

Greatest common factor (GCF) of 21552 and 21563 is 1.

GCF(21552,21563) = 1

We will now calculate the prime factors of 21552 and 21563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21552 and 21563.

How to find the GCF of 21552 and 21563?

We will first find the prime factorization of 21552 and 21563. After we will calculate the factors of 21552 and 21563 and find the biggest common factor number .

Step-1: Prime Factorization of 21552

Prime factors of 21552 are 2, 3, 449. Prime factorization of 21552 in exponential form is:

21552 = 2⁴ × 3¹ × 449¹

Step-2: Prime Factorization of 21563

Prime factors of 21563 are 21563. Prime factorization of 21563 in exponential form is:

21563 = 21563¹

Step-3: Factors of 21552

List of positive integer factors of 21552 that divides 21552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 449, 898, 1347, 1796, 2694, 3592, 5388, 7184, 10776

Step-4: Factors of 21563

List of positive integer factors of 21563 that divides 21552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21552 and 21563. The biggest common factor number is the GCF number.
So the greatest common factor 21552 and 21563 is 1.

Also check out the Least Common Multiple of 21552 and 21563