What is the Greatest Common Factor of 21990 and 22005?

Greatest common factor (GCF) of 21990 and 22005 is 15.

GCF(21990,22005) = 15

We will now calculate the prime factors of 21990 and 22005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21990 and 22005.

How to find the GCF of 21990 and 22005?

We will first find the prime factorization of 21990 and 22005. After we will calculate the factors of 21990 and 22005 and find the biggest common factor number .

Step-1: Prime Factorization of 21990

Prime factors of 21990 are 2, 3, 5, 733. Prime factorization of 21990 in exponential form is:

21990 = 2¹ × 3¹ × 5¹ × 733¹

Step-2: Prime Factorization of 22005

Prime factors of 22005 are 3, 5, 163. Prime factorization of 22005 in exponential form is:

22005 = 3³ × 5¹ × 163¹

Step-3: Factors of 21990

List of positive integer factors of 21990 that divides 21990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 733, 1466, 2199, 3665, 4398, 7330, 10995

Step-4: Factors of 22005

List of positive integer factors of 22005 that divides 21990 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 163, 489, 815, 1467, 2445, 4401, 7335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21990 and 22005. The biggest common factor number is the GCF number.
So the greatest common factor 21990 and 22005 is 15.

Also check out the Least Common Multiple of 21990 and 22005