What is the Greatest Common Factor of 21575 and 21584?

Greatest common factor (GCF) of 21575 and 21584 is 1.

GCF(21575,21584) = 1

We will now calculate the prime factors of 21575 and 21584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21575 and 21584.

How to find the GCF of 21575 and 21584?

We will first find the prime factorization of 21575 and 21584. After we will calculate the factors of 21575 and 21584 and find the biggest common factor number .

Step-1: Prime Factorization of 21575

Prime factors of 21575 are 5, 863. Prime factorization of 21575 in exponential form is:

21575 = 5² × 863¹

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 21575

List of positive integer factors of 21575 that divides 21575 without a remainder.

1, 5, 25, 863, 4315

Step-4: Factors of 21584

List of positive integer factors of 21584 that divides 21575 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 21575 and 21584. The biggest common factor number is the GCF number.
So the greatest common factor 21575 and 21584 is 1.

Also check out the Least Common Multiple of 21575 and 21584