What is the Greatest Common Factor of 19224 and 19230?

Greatest common factor (GCF) of 19224 and 19230 is 6.

GCF(19224,19230) = 6

We will now calculate the prime factors of 19224 and 19230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19224 and 19230.

How to find the GCF of 19224 and 19230?

We will first find the prime factorization of 19224 and 19230. After we will calculate the factors of 19224 and 19230 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 19230

Prime factors of 19230 are 2, 3, 5, 641. Prime factorization of 19230 in exponential form is:

19230 = 2¹ × 3¹ × 5¹ × 641¹

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 19230

List of positive integer factors of 19230 that divides 19224 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 641, 1282, 1923, 3205, 3846, 6410, 9615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19224 and 19230. The biggest common factor number is the GCF number.
So the greatest common factor 19224 and 19230 is 6.

Also check out the Least Common Multiple of 19224 and 19230