What is the Greatest Common Factor of 22792 and 22808?

Greatest common factor (GCF) of 22792 and 22808 is 8.

GCF(22792,22808) = 8

We will now calculate the prime factors of 22792 and 22808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22792 and 22808.

How to find the GCF of 22792 and 22808?

We will first find the prime factorization of 22792 and 22808. After we will calculate the factors of 22792 and 22808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22808

Prime factors of 22808 are 2, 2851. Prime factorization of 22808 in exponential form is:

22808 = 2³ × 2851¹

Step-3: Factors of 22792

List of positive integer factors of 22792 that divides 22792 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

Step-4: Factors of 22808

List of positive integer factors of 22808 that divides 22792 without a remainder.

1, 2, 4, 8, 2851, 5702, 11404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22792 and 22808. The biggest common factor number is the GCF number.
So the greatest common factor 22792 and 22808 is 8.

Also check out the Least Common Multiple of 22792 and 22808