What is the Greatest Common Factor of 21552 and 21571?

Greatest common factor (GCF) of 21552 and 21571 is 1.

GCF(21552,21571) = 1

We will now calculate the prime factors of 21552 and 21571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21552 and 21571.

How to find the GCF of 21552 and 21571?

We will first find the prime factorization of 21552 and 21571. After we will calculate the factors of 21552 and 21571 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 21571

Prime factors of 21571 are 11, 37, 53. Prime factorization of 21571 in exponential form is:

21571 = 11¹ × 37¹ × 53¹

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 21571

List of positive integer factors of 21571 that divides 21552 without a remainder.

1, 11, 37, 53, 407, 583, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21552 and 21571. The biggest common factor number is the GCF number.
So the greatest common factor 21552 and 21571 is 1.

Also check out the Least Common Multiple of 21552 and 21571