What is the Greatest Common Factor of 42459 and 42471?

Greatest common factor (GCF) of 42459 and 42471 is 3.

GCF(42459,42471) = 3

We will now calculate the prime factors of 42459 and 42471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42459 and 42471.

How to find the GCF of 42459 and 42471?

We will first find the prime factorization of 42459 and 42471. After we will calculate the factors of 42459 and 42471 and find the biggest common factor number .

Step-1: Prime Factorization of 42459

Prime factors of 42459 are 3, 14153. Prime factorization of 42459 in exponential form is:

42459 = 3¹ × 14153¹

Step-2: Prime Factorization of 42471

Prime factors of 42471 are 3, 11, 13. Prime factorization of 42471 in exponential form is:

42471 = 3³ × 11² × 13¹

Step-3: Factors of 42459

List of positive integer factors of 42459 that divides 42459 without a remainder.

1, 3, 14153

Step-4: Factors of 42471

List of positive integer factors of 42471 that divides 42459 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 121, 143, 297, 351, 363, 429, 1089, 1287, 1573, 3267, 3861, 4719, 14157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42459 and 42471. The biggest common factor number is the GCF number.
So the greatest common factor 42459 and 42471 is 3.

Also check out the Least Common Multiple of 42459 and 42471