What is the Greatest Common Factor of 43245 and 43254?

Greatest common factor (GCF) of 43245 and 43254 is 9.

GCF(43245,43254) = 9

We will now calculate the prime factors of 43245 and 43254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43245 and 43254.

How to find the GCF of 43245 and 43254?

We will first find the prime factorization of 43245 and 43254. After we will calculate the factors of 43245 and 43254 and find the biggest common factor number .

Step-1: Prime Factorization of 43245

Prime factors of 43245 are 3, 5, 31. Prime factorization of 43245 in exponential form is:

43245 = 3² × 5¹ × 31²

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 43245

List of positive integer factors of 43245 that divides 43245 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 961, 1395, 2883, 4805, 8649, 14415

Step-4: Factors of 43254

List of positive integer factors of 43254 that divides 43245 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 43245 and 43254. The biggest common factor number is the GCF number.
So the greatest common factor 43245 and 43254 is 9.

Also check out the Least Common Multiple of 43245 and 43254