What is the Greatest Common Factor of 21552 and 21569?

Greatest common factor (GCF) of 21552 and 21569 is 1.

GCF(21552,21569) = 1

We will now calculate the prime factors of 21552 and 21569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21552 and 21569.

How to find the GCF of 21552 and 21569?

We will first find the prime factorization of 21552 and 21569. After we will calculate the factors of 21552 and 21569 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 21569

Prime factors of 21569 are 21569. Prime factorization of 21569 in exponential form is:

21569 = 21569¹

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 21569

List of positive integer factors of 21569 that divides 21552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21552 and 21569. The biggest common factor number is the GCF number.
So the greatest common factor 21552 and 21569 is 1.

Also check out the Least Common Multiple of 21552 and 21569