What is the Greatest Common Factor of 22748 and 22768?

Greatest common factor (GCF) of 22748 and 22768 is 4.

GCF(22748,22768) = 4

We will now calculate the prime factors of 22748 and 22768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22748 and 22768.

How to find the GCF of 22748 and 22768?

We will first find the prime factorization of 22748 and 22768. After we will calculate the factors of 22748 and 22768 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 22768

Prime factors of 22768 are 2, 1423. Prime factorization of 22768 in exponential form is:

22768 = 2⁴ × 1423¹

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 22768

List of positive integer factors of 22768 that divides 22748 without a remainder.

1, 2, 4, 8, 16, 1423, 2846, 5692, 11384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22748 and 22768. The biggest common factor number is the GCF number.
So the greatest common factor 22748 and 22768 is 4.

Also check out the Least Common Multiple of 22748 and 22768