What is the Greatest Common Factor of 22404 and 22412?

Greatest common factor (GCF) of 22404 and 22412 is 4.

GCF(22404,22412) = 4

We will now calculate the prime factors of 22404 and 22412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22404 and 22412.

How to find the GCF of 22404 and 22412?

We will first find the prime factorization of 22404 and 22412. After we will calculate the factors of 22404 and 22412 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22412

Prime factors of 22412 are 2, 13, 431. Prime factorization of 22412 in exponential form is:

22412 = 2² × 13¹ × 431¹

Step-3: Factors of 22404

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

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

Step-4: Factors of 22412

List of positive integer factors of 22412 that divides 22404 without a remainder.

1, 2, 4, 13, 26, 52, 431, 862, 1724, 5603, 11206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22404 and 22412. The biggest common factor number is the GCF number.
So the greatest common factor 22404 and 22412 is 4.

Also check out the Least Common Multiple of 22404 and 22412