What is the Greatest Common Factor of 43428 and 43443?

Greatest common factor (GCF) of 43428 and 43443 is 3.

GCF(43428,43443) = 3

We will now calculate the prime factors of 43428 and 43443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43428 and 43443.

How to find the GCF of 43428 and 43443?

We will first find the prime factorization of 43428 and 43443. After we will calculate the factors of 43428 and 43443 and find the biggest common factor number .

Step-1: Prime Factorization of 43428

Prime factors of 43428 are 2, 3, 7, 11, 47. Prime factorization of 43428 in exponential form is:

43428 = 2² × 3¹ × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 43443

Prime factors of 43443 are 3, 1609. Prime factorization of 43443 in exponential form is:

43443 = 3³ × 1609¹

Step-3: Factors of 43428

List of positive integer factors of 43428 that divides 43428 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 47, 66, 77, 84, 94, 132, 141, 154, 188, 231, 282, 308, 329, 462, 517, 564, 658, 924, 987, 1034, 1316, 1551, 1974, 2068, 3102, 3619, 3948, 6204, 7238, 10857, 14476, 21714

Step-4: Factors of 43443

List of positive integer factors of 43443 that divides 43428 without a remainder.

1, 3, 9, 27, 1609, 4827, 14481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43428 and 43443. The biggest common factor number is the GCF number.
So the greatest common factor 43428 and 43443 is 3.

Also check out the Least Common Multiple of 43428 and 43443