What is the Greatest Common Factor of 22032 and 22048?

Greatest common factor (GCF) of 22032 and 22048 is 16.

GCF(22032,22048) = 16

We will now calculate the prime factors of 22032 and 22048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22032 and 22048.

How to find the GCF of 22032 and 22048?

We will first find the prime factorization of 22032 and 22048. After we will calculate the factors of 22032 and 22048 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22048

Prime factors of 22048 are 2, 13, 53. Prime factorization of 22048 in exponential form is:

22048 = 2⁵ × 13¹ × 53¹

Step-3: Factors of 22032

List of positive integer factors of 22032 that divides 22032 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

Step-4: Factors of 22048

List of positive integer factors of 22048 that divides 22032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 104, 106, 208, 212, 416, 424, 689, 848, 1378, 1696, 2756, 5512, 11024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22032 and 22048. The biggest common factor number is the GCF number.
So the greatest common factor 22032 and 22048 is 16.

Also check out the Least Common Multiple of 22032 and 22048