What is the Greatest Common Factor of 84447 and 84462?

Greatest common factor (GCF) of 84447 and 84462 is 3.

GCF(84447,84462) = 3

We will now calculate the prime factors of 84447 and 84462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84447 and 84462.

How to find the GCF of 84447 and 84462?

We will first find the prime factorization of 84447 and 84462. After we will calculate the factors of 84447 and 84462 and find the biggest common factor number .

Step-1: Prime Factorization of 84447

Prime factors of 84447 are 3, 11, 853. Prime factorization of 84447 in exponential form is:

84447 = 3² × 11¹ × 853¹

Step-2: Prime Factorization of 84462

Prime factors of 84462 are 2, 3, 7, 2011. Prime factorization of 84462 in exponential form is:

84462 = 2¹ × 3¹ × 7¹ × 2011¹

Step-3: Factors of 84447

List of positive integer factors of 84447 that divides 84447 without a remainder.

1, 3, 9, 11, 33, 99, 853, 2559, 7677, 9383, 28149

Step-4: Factors of 84462

List of positive integer factors of 84462 that divides 84447 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2011, 4022, 6033, 12066, 14077, 28154, 42231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84447 and 84462. The biggest common factor number is the GCF number.
So the greatest common factor 84447 and 84462 is 3.

Also check out the Least Common Multiple of 84447 and 84462