What is the Greatest Common Factor of 22017 and 22032?

Greatest common factor (GCF) of 22017 and 22032 is 3.

GCF(22017,22032) = 3

We will now calculate the prime factors of 22017 and 22032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22017 and 22032.

How to find the GCF of 22017 and 22032?

We will first find the prime factorization of 22017 and 22032. After we will calculate the factors of 22017 and 22032 and find the biggest common factor number .

Step-1: Prime Factorization of 22017

Prime factors of 22017 are 3, 41, 179. Prime factorization of 22017 in exponential form is:

22017 = 3¹ × 41¹ × 179¹

Step-2: Prime Factorization of 22032

Prime factors of 22032 are 2, 3, 17. Prime factorization of 22032 in exponential form is:

22032 = 2⁴ × 3⁴ × 17¹

Step-3: Factors of 22017

List of positive integer factors of 22017 that divides 22017 without a remainder.

1, 3, 41, 123, 179, 537, 7339

Step-4: Factors of 22032

List of positive integer factors of 22032 that divides 22017 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 81, 102, 108, 136, 144, 153, 162, 204, 216, 272, 306, 324, 408, 432, 459, 612, 648, 816, 918, 1224, 1296, 1377, 1836, 2448, 2754, 3672, 5508, 7344, 11016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22017 and 22032. The biggest common factor number is the GCF number.
So the greatest common factor 22017 and 22032 is 3.

Also check out the Least Common Multiple of 22017 and 22032