What is the Greatest Common Factor of 22015 and 22032?

Greatest common factor (GCF) of 22015 and 22032 is 17.

GCF(22015,22032) = 17

We will now calculate the prime factors of 22015 and 22032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22015 and 22032.

How to find the GCF of 22015 and 22032?

We will first find the prime factorization of 22015 and 22032. After we will calculate the factors of 22015 and 22032 and find the biggest common factor number .

Step-1: Prime Factorization of 22015

Prime factors of 22015 are 5, 7, 17, 37. Prime factorization of 22015 in exponential form is:

22015 = 5¹ × 7¹ × 17¹ × 37¹

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 22015

List of positive integer factors of 22015 that divides 22015 without a remainder.

1, 5, 7, 17, 35, 37, 85, 119, 185, 259, 595, 629, 1295, 3145, 4403

Step-4: Factors of 22032

List of positive integer factors of 22032 that divides 22015 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 22015 and 22032. The biggest common factor number is the GCF number.
So the greatest common factor 22015 and 22032 is 17.

Also check out the Least Common Multiple of 22015 and 22032