What is the Greatest Common Factor of 22388 and 22404?

Greatest common factor (GCF) of 22388 and 22404 is 4.

GCF(22388,22404) = 4

We will now calculate the prime factors of 22388 and 22404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22388 and 22404.

How to find the GCF of 22388 and 22404?

We will first find the prime factorization of 22388 and 22404. After we will calculate the factors of 22388 and 22404 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22404

Prime factors of 22404 are 2, 3, 1867. Prime factorization of 22404 in exponential form is:

22404 = 2² × 3¹ × 1867¹

Step-3: Factors of 22388

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

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

Step-4: Factors of 22404

List of positive integer factors of 22404 that divides 22388 without a remainder.

1, 2, 3, 4, 6, 12, 1867, 3734, 5601, 7468, 11202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22388 and 22404. The biggest common factor number is the GCF number.
So the greatest common factor 22388 and 22404 is 4.

Also check out the Least Common Multiple of 22388 and 22404