What is the Greatest Common Factor of 43224 and 43230?

Greatest common factor (GCF) of 43224 and 43230 is 6.

GCF(43224,43230) = 6

We will now calculate the prime factors of 43224 and 43230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43224 and 43230.

How to find the GCF of 43224 and 43230?

We will first find the prime factorization of 43224 and 43230. After we will calculate the factors of 43224 and 43230 and find the biggest common factor number .

Step-1: Prime Factorization of 43224

Prime factors of 43224 are 2, 3, 1801. Prime factorization of 43224 in exponential form is:

43224 = 2³ × 3¹ × 1801¹

Step-2: Prime Factorization of 43230

Prime factors of 43230 are 2, 3, 5, 11, 131. Prime factorization of 43230 in exponential form is:

43230 = 2¹ × 3¹ × 5¹ × 11¹ × 131¹

Step-3: Factors of 43224

List of positive integer factors of 43224 that divides 43224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1801, 3602, 5403, 7204, 10806, 14408, 21612

Step-4: Factors of 43230

List of positive integer factors of 43230 that divides 43224 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 131, 165, 262, 330, 393, 655, 786, 1310, 1441, 1965, 2882, 3930, 4323, 7205, 8646, 14410, 21615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43224 and 43230. The biggest common factor number is the GCF number.
So the greatest common factor 43224 and 43230 is 6.

Also check out the Least Common Multiple of 43224 and 43230