What is the Greatest Common Factor of 21568 and 21584?

Greatest common factor (GCF) of 21568 and 21584 is 16.

GCF(21568,21584) = 16

We will now calculate the prime factors of 21568 and 21584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21568 and 21584.

How to find the GCF of 21568 and 21584?

We will first find the prime factorization of 21568 and 21584. After we will calculate the factors of 21568 and 21584 and find the biggest common factor number .

Step-1: Prime Factorization of 21568

Prime factors of 21568 are 2, 337. Prime factorization of 21568 in exponential form is:

21568 = 2⁶ × 337¹

Step-2: Prime Factorization of 21584

Prime factors of 21584 are 2, 19, 71. Prime factorization of 21584 in exponential form is:

21584 = 2⁴ × 19¹ × 71¹

Step-3: Factors of 21568

List of positive integer factors of 21568 that divides 21568 without a remainder.

1, 2, 4, 8, 16, 32, 64, 337, 674, 1348, 2696, 5392, 10784

Step-4: Factors of 21584

List of positive integer factors of 21584 that divides 21568 without a remainder.

1, 2, 4, 8, 16, 19, 38, 71, 76, 142, 152, 284, 304, 568, 1136, 1349, 2698, 5396, 10792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21568 and 21584. The biggest common factor number is the GCF number.
So the greatest common factor 21568 and 21584 is 16.

Also check out the Least Common Multiple of 21568 and 21584