What is the Greatest Common Factor of 21615 and 21633?

Greatest common factor (GCF) of 21615 and 21633 is 3.

GCF(21615,21633) = 3

We will now calculate the prime factors of 21615 and 21633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21615 and 21633.

How to find the GCF of 21615 and 21633?

We will first find the prime factorization of 21615 and 21633. After we will calculate the factors of 21615 and 21633 and find the biggest common factor number .

Step-1: Prime Factorization of 21615

Prime factors of 21615 are 3, 5, 11, 131. Prime factorization of 21615 in exponential form is:

21615 = 3¹ × 5¹ × 11¹ × 131¹

Step-2: Prime Factorization of 21633

Prime factors of 21633 are 3, 7211. Prime factorization of 21633 in exponential form is:

21633 = 3¹ × 7211¹

Step-3: Factors of 21615

List of positive integer factors of 21615 that divides 21615 without a remainder.

1, 3, 5, 11, 15, 33, 55, 131, 165, 393, 655, 1441, 1965, 4323, 7205

Step-4: Factors of 21633

List of positive integer factors of 21633 that divides 21615 without a remainder.

1, 3, 7211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21615 and 21633. The biggest common factor number is the GCF number.
So the greatest common factor 21615 and 21633 is 3.

Also check out the Least Common Multiple of 21615 and 21633