What is the Greatest Common Factor of 22515 and 22521?

Greatest common factor (GCF) of 22515 and 22521 is 3.

GCF(22515,22521) = 3

We will now calculate the prime factors of 22515 and 22521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22515 and 22521.

How to find the GCF of 22515 and 22521?

We will first find the prime factorization of 22515 and 22521. After we will calculate the factors of 22515 and 22521 and find the biggest common factor number .

Step-1: Prime Factorization of 22515

Prime factors of 22515 are 3, 5, 19, 79. Prime factorization of 22515 in exponential form is:

22515 = 3¹ × 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 22521

Prime factors of 22521 are 3, 7507. Prime factorization of 22521 in exponential form is:

22521 = 3¹ × 7507¹

Step-3: Factors of 22515

List of positive integer factors of 22515 that divides 22515 without a remainder.

1, 3, 5, 15, 19, 57, 79, 95, 237, 285, 395, 1185, 1501, 4503, 7505

Step-4: Factors of 22521

List of positive integer factors of 22521 that divides 22515 without a remainder.

1, 3, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22515 and 22521. The biggest common factor number is the GCF number.
So the greatest common factor 22515 and 22521 is 3.

Also check out the Least Common Multiple of 22515 and 22521