What is the Greatest Common Factor of 21585 and 21590?

Greatest common factor (GCF) of 21585 and 21590 is 5.

GCF(21585,21590) = 5

We will now calculate the prime factors of 21585 and 21590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21585 and 21590.

How to find the GCF of 21585 and 21590?

We will first find the prime factorization of 21585 and 21590. After we will calculate the factors of 21585 and 21590 and find the biggest common factor number .

Step-1: Prime Factorization of 21585

Prime factors of 21585 are 3, 5, 1439. Prime factorization of 21585 in exponential form is:

21585 = 3¹ × 5¹ × 1439¹

Step-2: Prime Factorization of 21590

Prime factors of 21590 are 2, 5, 17, 127. Prime factorization of 21590 in exponential form is:

21590 = 2¹ × 5¹ × 17¹ × 127¹

Step-3: Factors of 21585

List of positive integer factors of 21585 that divides 21585 without a remainder.

1, 3, 5, 15, 1439, 4317, 7195

Step-4: Factors of 21590

List of positive integer factors of 21590 that divides 21585 without a remainder.

1, 2, 5, 10, 17, 34, 85, 127, 170, 254, 635, 1270, 2159, 4318, 10795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21585 and 21590. The biggest common factor number is the GCF number.
So the greatest common factor 21585 and 21590 is 5.

Also check out the Least Common Multiple of 21585 and 21590