What is the Greatest Common Factor of 21519 and 21525?

Greatest common factor (GCF) of 21519 and 21525 is 3.

GCF(21519,21525) = 3

We will now calculate the prime factors of 21519 and 21525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21519 and 21525.

How to find the GCF of 21519 and 21525?

We will first find the prime factorization of 21519 and 21525. After we will calculate the factors of 21519 and 21525 and find the biggest common factor number .

Step-1: Prime Factorization of 21519

Prime factors of 21519 are 3, 797. Prime factorization of 21519 in exponential form is:

21519 = 3³ × 797¹

Step-2: Prime Factorization of 21525

Prime factors of 21525 are 3, 5, 7, 41. Prime factorization of 21525 in exponential form is:

21525 = 3¹ × 5² × 7¹ × 41¹

Step-3: Factors of 21519

List of positive integer factors of 21519 that divides 21519 without a remainder.

1, 3, 9, 27, 797, 2391, 7173

Step-4: Factors of 21525

List of positive integer factors of 21525 that divides 21519 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 41, 75, 105, 123, 175, 205, 287, 525, 615, 861, 1025, 1435, 3075, 4305, 7175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21519 and 21525. The biggest common factor number is the GCF number.
So the greatest common factor 21519 and 21525 is 3.

Also check out the Least Common Multiple of 21519 and 21525