What is the Greatest Common Factor of 22748 and 22756?

Greatest common factor (GCF) of 22748 and 22756 is 4.

GCF(22748,22756) = 4

We will now calculate the prime factors of 22748 and 22756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22748 and 22756.

How to find the GCF of 22748 and 22756?

We will first find the prime factorization of 22748 and 22756. After we will calculate the factors of 22748 and 22756 and find the biggest common factor number .

Step-1: Prime Factorization of 22748

Prime factors of 22748 are 2, 11, 47. Prime factorization of 22748 in exponential form is:

22748 = 2² × 11² × 47¹

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 22748

List of positive integer factors of 22748 that divides 22748 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 121, 188, 242, 484, 517, 1034, 2068, 5687, 11374

Step-4: Factors of 22756

List of positive integer factors of 22756 that divides 22748 without a remainder.

1, 2, 4, 5689, 11378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22748 and 22756. The biggest common factor number is the GCF number.
So the greatest common factor 22748 and 22756 is 4.

Also check out the Least Common Multiple of 22748 and 22756