What is the Greatest Common Factor of 22754 and 22772?

Greatest common factor (GCF) of 22754 and 22772 is 2.

GCF(22754,22772) = 2

We will now calculate the prime factors of 22754 and 22772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22754 and 22772.

How to find the GCF of 22754 and 22772?

We will first find the prime factorization of 22754 and 22772. After we will calculate the factors of 22754 and 22772 and find the biggest common factor number .

Step-1: Prime Factorization of 22754

Prime factors of 22754 are 2, 31, 367. Prime factorization of 22754 in exponential form is:

22754 = 2¹ × 31¹ × 367¹

Step-2: Prime Factorization of 22772

Prime factors of 22772 are 2, 5693. Prime factorization of 22772 in exponential form is:

22772 = 2² × 5693¹

Step-3: Factors of 22754

List of positive integer factors of 22754 that divides 22754 without a remainder.

1, 2, 31, 62, 367, 734, 11377

Step-4: Factors of 22772

List of positive integer factors of 22772 that divides 22754 without a remainder.

1, 2, 4, 5693, 11386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22754 and 22772. The biggest common factor number is the GCF number.
So the greatest common factor 22754 and 22772 is 2.

Also check out the Least Common Multiple of 22754 and 22772