What is the Greatest Common Factor of 22512 and 22528?

Greatest common factor (GCF) of 22512 and 22528 is 16.

GCF(22512,22528) = 16

We will now calculate the prime factors of 22512 and 22528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22512 and 22528.

How to find the GCF of 22512 and 22528?

We will first find the prime factorization of 22512 and 22528. After we will calculate the factors of 22512 and 22528 and find the biggest common factor number .

Step-1: Prime Factorization of 22512

Prime factors of 22512 are 2, 3, 7, 67. Prime factorization of 22512 in exponential form is:

22512 = 2⁴ × 3¹ × 7¹ × 67¹

Step-2: Prime Factorization of 22528

Prime factors of 22528 are 2, 11. Prime factorization of 22528 in exponential form is:

22528 = 2¹¹ × 11¹

Step-3: Factors of 22512

List of positive integer factors of 22512 that divides 22512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 67, 84, 112, 134, 168, 201, 268, 336, 402, 469, 536, 804, 938, 1072, 1407, 1608, 1876, 2814, 3216, 3752, 5628, 7504, 11256

Step-4: Factors of 22528

List of positive integer factors of 22528 that divides 22512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2048, 2816, 5632, 11264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22512 and 22528. The biggest common factor number is the GCF number.
So the greatest common factor 22512 and 22528 is 16.

Also check out the Least Common Multiple of 22512 and 22528