What is the Greatest Common Factor of 22396 and 22404?

Greatest common factor (GCF) of 22396 and 22404 is 4.

GCF(22396,22404) = 4

We will now calculate the prime factors of 22396 and 22404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22396 and 22404.

How to find the GCF of 22396 and 22404?

We will first find the prime factorization of 22396 and 22404. After we will calculate the factors of 22396 and 22404 and find the biggest common factor number .

Step-1: Prime Factorization of 22396

Prime factors of 22396 are 2, 11, 509. Prime factorization of 22396 in exponential form is:

22396 = 2² × 11¹ × 509¹

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 22396

List of positive integer factors of 22396 that divides 22396 without a remainder.

1, 2, 4, 11, 22, 44, 509, 1018, 2036, 5599, 11198

Step-4: Factors of 22404

List of positive integer factors of 22404 that divides 22396 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 22396 and 22404. The biggest common factor number is the GCF number.
So the greatest common factor 22396 and 22404 is 4.

Also check out the Least Common Multiple of 22396 and 22404