What is the Greatest Common Factor of 21584 and 21601?

Greatest common factor (GCF) of 21584 and 21601 is 1.

GCF(21584,21601) = 1

We will now calculate the prime factors of 21584 and 21601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21584 and 21601.

How to find the GCF of 21584 and 21601?

We will first find the prime factorization of 21584 and 21601. After we will calculate the factors of 21584 and 21601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21601

Prime factors of 21601 are 21601. Prime factorization of 21601 in exponential form is:

21601 = 21601¹

Step-3: Factors of 21584

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

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

Step-4: Factors of 21601

List of positive integer factors of 21601 that divides 21584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21584 and 21601. The biggest common factor number is the GCF number.
So the greatest common factor 21584 and 21601 is 1.

Also check out the Least Common Multiple of 21584 and 21601