What is the Greatest Common Factor of 22742 and 22754?

Greatest common factor (GCF) of 22742 and 22754 is 2.

GCF(22742,22754) = 2

We will now calculate the prime factors of 22742 and 22754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22742 and 22754.

How to find the GCF of 22742 and 22754?

We will first find the prime factorization of 22742 and 22754. After we will calculate the factors of 22742 and 22754 and find the biggest common factor number .

Step-1: Prime Factorization of 22742

Prime factors of 22742 are 2, 83, 137. Prime factorization of 22742 in exponential form is:

22742 = 2¹ × 83¹ × 137¹

Step-2: 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-3: Factors of 22742

List of positive integer factors of 22742 that divides 22742 without a remainder.

1, 2, 83, 137, 166, 274, 11371

Step-4: Factors of 22754

List of positive integer factors of 22754 that divides 22742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22742 and 22754. The biggest common factor number is the GCF number.
So the greatest common factor 22742 and 22754 is 2.

Also check out the Least Common Multiple of 22742 and 22754