What is the Greatest Common Factor of 22024 and 22032?

Greatest common factor (GCF) of 22024 and 22032 is 8.

GCF(22024,22032) = 8

We will now calculate the prime factors of 22024 and 22032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22024 and 22032.

How to find the GCF of 22024 and 22032?

We will first find the prime factorization of 22024 and 22032. After we will calculate the factors of 22024 and 22032 and find the biggest common factor number .

Step-1: Prime Factorization of 22024

Prime factors of 22024 are 2, 2753. Prime factorization of 22024 in exponential form is:

22024 = 2³ × 2753¹

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 22024

List of positive integer factors of 22024 that divides 22024 without a remainder.

1, 2, 4, 8, 2753, 5506, 11012

Step-4: Factors of 22032

List of positive integer factors of 22032 that divides 22024 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 22024 and 22032. The biggest common factor number is the GCF number.
So the greatest common factor 22024 and 22032 is 8.

Also check out the Least Common Multiple of 22024 and 22032