What is the Greatest Common Factor of 22368 and 22388?

Greatest common factor (GCF) of 22368 and 22388 is 4.

GCF(22368,22388) = 4

We will now calculate the prime factors of 22368 and 22388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22368 and 22388.

How to find the GCF of 22368 and 22388?

We will first find the prime factorization of 22368 and 22388. After we will calculate the factors of 22368 and 22388 and find the biggest common factor number .

Step-1: Prime Factorization of 22368

Prime factors of 22368 are 2, 3, 233. Prime factorization of 22368 in exponential form is:

22368 = 2⁵ × 3¹ × 233¹

Step-2: Prime Factorization of 22388

Prime factors of 22388 are 2, 29, 193. Prime factorization of 22388 in exponential form is:

22388 = 2² × 29¹ × 193¹

Step-3: Factors of 22368

List of positive integer factors of 22368 that divides 22368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184

Step-4: Factors of 22388

List of positive integer factors of 22388 that divides 22368 without a remainder.

1, 2, 4, 29, 58, 116, 193, 386, 772, 5597, 11194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22368 and 22388. The biggest common factor number is the GCF number.
So the greatest common factor 22368 and 22388 is 4.

Also check out the Least Common Multiple of 22368 and 22388