What is the Greatest Common Factor of 84429 and 84447?

Greatest common factor (GCF) of 84429 and 84447 is 9.

GCF(84429,84447) = 9

We will now calculate the prime factors of 84429 and 84447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84429 and 84447.

How to find the GCF of 84429 and 84447?

We will first find the prime factorization of 84429 and 84447. After we will calculate the factors of 84429 and 84447 and find the biggest common factor number .

Step-1: Prime Factorization of 84429

Prime factors of 84429 are 3, 53, 59. Prime factorization of 84429 in exponential form is:

84429 = 3³ × 53¹ × 59¹

Step-2: 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-3: Factors of 84429

List of positive integer factors of 84429 that divides 84429 without a remainder.

1, 3, 9, 27, 53, 59, 159, 177, 477, 531, 1431, 1593, 3127, 9381, 28143

Step-4: Factors of 84447

List of positive integer factors of 84447 that divides 84429 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84429 and 84447. The biggest common factor number is the GCF number.
So the greatest common factor 84429 and 84447 is 9.

Also check out the Least Common Multiple of 84429 and 84447