What is the Greatest Common Factor of 22768 and 22774?

Greatest common factor (GCF) of 22768 and 22774 is 2.

GCF(22768,22774) = 2

We will now calculate the prime factors of 22768 and 22774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22768 and 22774.

How to find the GCF of 22768 and 22774?

We will first find the prime factorization of 22768 and 22774. After we will calculate the factors of 22768 and 22774 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 22774

Prime factors of 22774 are 2, 59, 193. Prime factorization of 22774 in exponential form is:

22774 = 2¹ × 59¹ × 193¹

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 22774

List of positive integer factors of 22774 that divides 22768 without a remainder.

1, 2, 59, 118, 193, 386, 11387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22768 and 22774. The biggest common factor number is the GCF number.
So the greatest common factor 22768 and 22774 is 2.

Also check out the Least Common Multiple of 22768 and 22774