What is the Greatest Common Factor of 43242 and 43254?

Greatest common factor (GCF) of 43242 and 43254 is 6.

GCF(43242,43254) = 6

We will now calculate the prime factors of 43242 and 43254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43242 and 43254.

How to find the GCF of 43242 and 43254?

We will first find the prime factorization of 43242 and 43254. After we will calculate the factors of 43242 and 43254 and find the biggest common factor number .

Step-1: Prime Factorization of 43242

Prime factors of 43242 are 2, 3, 7207. Prime factorization of 43242 in exponential form is:

43242 = 2¹ × 3¹ × 7207¹

Step-2: Prime Factorization of 43254

Prime factors of 43254 are 2, 3, 89. Prime factorization of 43254 in exponential form is:

43254 = 2¹ × 3⁵ × 89¹

Step-3: Factors of 43242

List of positive integer factors of 43242 that divides 43242 without a remainder.

1, 2, 3, 6, 7207, 14414, 21621

Step-4: Factors of 43254

List of positive integer factors of 43254 that divides 43242 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 89, 162, 178, 243, 267, 486, 534, 801, 1602, 2403, 4806, 7209, 14418, 21627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43242 and 43254. The biggest common factor number is the GCF number.
So the greatest common factor 43242 and 43254 is 6.

Also check out the Least Common Multiple of 43242 and 43254