What is the Greatest Common Factor of 19224 and 19242?

Greatest common factor (GCF) of 19224 and 19242 is 18.

GCF(19224,19242) = 18

We will now calculate the prime factors of 19224 and 19242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19224 and 19242.

How to find the GCF of 19224 and 19242?

We will first find the prime factorization of 19224 and 19242. After we will calculate the factors of 19224 and 19242 and find the biggest common factor number .

Step-1: Prime Factorization of 19224

Prime factors of 19224 are 2, 3, 89. Prime factorization of 19224 in exponential form is:

19224 = 2³ × 3³ × 89¹

Step-2: Prime Factorization of 19242

Prime factors of 19242 are 2, 3, 1069. Prime factorization of 19242 in exponential form is:

19242 = 2¹ × 3² × 1069¹

Step-3: Factors of 19224

List of positive integer factors of 19224 that divides 19224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 89, 108, 178, 216, 267, 356, 534, 712, 801, 1068, 1602, 2136, 2403, 3204, 4806, 6408, 9612

Step-4: Factors of 19242

List of positive integer factors of 19242 that divides 19224 without a remainder.

1, 2, 3, 6, 9, 18, 1069, 2138, 3207, 6414, 9621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19224 and 19242. The biggest common factor number is the GCF number.
So the greatest common factor 19224 and 19242 is 18.

Also check out the Least Common Multiple of 19224 and 19242