What is the Greatest Common Factor of 22404 and 22424?

Greatest common factor (GCF) of 22404 and 22424 is 4.

GCF(22404,22424) = 4

We will now calculate the prime factors of 22404 and 22424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22404 and 22424.

How to find the GCF of 22404 and 22424?

We will first find the prime factorization of 22404 and 22424. After we will calculate the factors of 22404 and 22424 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 22424

Prime factors of 22424 are 2, 2803. Prime factorization of 22424 in exponential form is:

22424 = 2³ × 2803¹

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 22424

List of positive integer factors of 22424 that divides 22404 without a remainder.

1, 2, 4, 8, 2803, 5606, 11212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22404 and 22424. The biggest common factor number is the GCF number.
So the greatest common factor 22404 and 22424 is 4.

Also check out the Least Common Multiple of 22404 and 22424