What is the Greatest Common Factor of 22744 and 22756?

Greatest common factor (GCF) of 22744 and 22756 is 4.

GCF(22744,22756) = 4

We will now calculate the prime factors of 22744 and 22756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22744 and 22756.

How to find the GCF of 22744 and 22756?

We will first find the prime factorization of 22744 and 22756. After we will calculate the factors of 22744 and 22756 and find the biggest common factor number .

Step-1: Prime Factorization of 22744

Prime factors of 22744 are 2, 2843. Prime factorization of 22744 in exponential form is:

22744 = 2³ × 2843¹

Step-2: Prime Factorization of 22756

Prime factors of 22756 are 2, 5689. Prime factorization of 22756 in exponential form is:

22756 = 2² × 5689¹

Step-3: Factors of 22744

List of positive integer factors of 22744 that divides 22744 without a remainder.

1, 2, 4, 8, 2843, 5686, 11372

Step-4: Factors of 22756

List of positive integer factors of 22756 that divides 22744 without a remainder.

1, 2, 4, 5689, 11378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22744 and 22756. The biggest common factor number is the GCF number.
So the greatest common factor 22744 and 22756 is 4.

Also check out the Least Common Multiple of 22744 and 22756