What is the Greatest Common Factor of 21571 and 21584?

Greatest common factor (GCF) of 21571 and 21584 is 1.

GCF(21571,21584) = 1

We will now calculate the prime factors of 21571 and 21584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21571 and 21584.

How to find the GCF of 21571 and 21584?

We will first find the prime factorization of 21571 and 21584. After we will calculate the factors of 21571 and 21584 and find the biggest common factor number .

Step-1: 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-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 21571

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

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

Step-4: Factors of 21584

List of positive integer factors of 21584 that divides 21571 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 21571 and 21584. The biggest common factor number is the GCF number.
So the greatest common factor 21571 and 21584 is 1.

Also check out the Least Common Multiple of 21571 and 21584