What is the Greatest Common Factor of 21507 and 21525?

Greatest common factor (GCF) of 21507 and 21525 is 3.

GCF(21507,21525) = 3

We will now calculate the prime factors of 21507 and 21525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21507 and 21525.

How to find the GCF of 21507 and 21525?

We will first find the prime factorization of 21507 and 21525. After we will calculate the factors of 21507 and 21525 and find the biggest common factor number .

Step-1: Prime Factorization of 21507

Prime factors of 21507 are 3, 67, 107. Prime factorization of 21507 in exponential form is:

21507 = 3¹ × 67¹ × 107¹

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 21507

List of positive integer factors of 21507 that divides 21507 without a remainder.

1, 3, 67, 107, 201, 321, 7169

Step-4: Factors of 21525

List of positive integer factors of 21525 that divides 21507 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 21507 and 21525. The biggest common factor number is the GCF number.
So the greatest common factor 21507 and 21525 is 3.

Also check out the Least Common Multiple of 21507 and 21525