What is the Greatest Common Factor of 22768 and 22784?

Greatest common factor (GCF) of 22768 and 22784 is 16.

GCF(22768,22784) = 16

We will now calculate the prime factors of 22768 and 22784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22768 and 22784.

How to find the GCF of 22768 and 22784?

We will first find the prime factorization of 22768 and 22784. After we will calculate the factors of 22768 and 22784 and find the biggest common factor number .

Step-1: Prime Factorization of 22768

Prime factors of 22768 are 2, 1423. Prime factorization of 22768 in exponential form is:

22768 = 2⁴ × 1423¹

Step-2: Prime Factorization of 22784

Prime factors of 22784 are 2, 89. Prime factorization of 22784 in exponential form is:

22784 = 2⁸ × 89¹

Step-3: Factors of 22768

List of positive integer factors of 22768 that divides 22768 without a remainder.

1, 2, 4, 8, 16, 1423, 2846, 5692, 11384

Step-4: Factors of 22784

List of positive integer factors of 22784 that divides 22768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 128, 178, 256, 356, 712, 1424, 2848, 5696, 11392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22768 and 22784. The biggest common factor number is the GCF number.
So the greatest common factor 22768 and 22784 is 16.

Also check out the Least Common Multiple of 22768 and 22784