What is the Greatest Common Factor of 22768 and 22780?

Greatest common factor (GCF) of 22768 and 22780 is 4.

GCF(22768,22780) = 4

We will now calculate the prime factors of 22768 and 22780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22768 and 22780.

How to find the GCF of 22768 and 22780?

We will first find the prime factorization of 22768 and 22780. After we will calculate the factors of 22768 and 22780 and find the biggest common factor number .

Step-1: Prime Factorization of 22768

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

22768 = 2⁴ × 1423¹

Step-2: Prime Factorization of 22780

Prime factors of 22780 are 2, 5, 17, 67. Prime factorization of 22780 in exponential form is:

22780 = 2² × 5¹ × 17¹ × 67¹

Step-3: Factors of 22768

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

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

Step-4: Factors of 22780

List of positive integer factors of 22780 that divides 22768 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 67, 68, 85, 134, 170, 268, 335, 340, 670, 1139, 1340, 2278, 4556, 5695, 11390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22768 and 22780. The biggest common factor number is the GCF number.
So the greatest common factor 22768 and 22780 is 4.

Also check out the Least Common Multiple of 22768 and 22780