What is the Greatest Common Factor of 22784 and 22792?

Greatest common factor (GCF) of 22784 and 22792 is 8.

GCF(22784,22792) = 8

We will now calculate the prime factors of 22784 and 22792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22784 and 22792.

How to find the GCF of 22784 and 22792?

We will first find the prime factorization of 22784 and 22792. After we will calculate the factors of 22784 and 22792 and find the biggest common factor number .

Step-1: Prime Factorization of 22784

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

22784 = 2⁸ × 89¹

Step-2: Prime Factorization of 22792

Prime factors of 22792 are 2, 7, 11, 37. Prime factorization of 22792 in exponential form is:

22792 = 2³ × 7¹ × 11¹ × 37¹

Step-3: Factors of 22784

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

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

Step-4: Factors of 22792

List of positive integer factors of 22792 that divides 22784 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 37, 44, 56, 74, 77, 88, 148, 154, 259, 296, 308, 407, 518, 616, 814, 1036, 1628, 2072, 2849, 3256, 5698, 11396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22784 and 22792. The biggest common factor number is the GCF number.
So the greatest common factor 22784 and 22792 is 8.

Also check out the Least Common Multiple of 22784 and 22792