What is the Greatest Common Factor of 21584 and 21597?

Greatest common factor (GCF) of 21584 and 21597 is 1.

GCF(21584,21597) = 1

We will now calculate the prime factors of 21584 and 21597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21584 and 21597.

How to find the GCF of 21584 and 21597?

We will first find the prime factorization of 21584 and 21597. After we will calculate the factors of 21584 and 21597 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 21597

Prime factors of 21597 are 3, 23, 313. Prime factorization of 21597 in exponential form is:

21597 = 3¹ × 23¹ × 313¹

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 21597

List of positive integer factors of 21597 that divides 21584 without a remainder.

1, 3, 23, 69, 313, 939, 7199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21584 and 21597. The biggest common factor number is the GCF number.
So the greatest common factor 21584 and 21597 is 1.

Also check out the Least Common Multiple of 21584 and 21597