What is the Greatest Common Factor of 84429 and 84441?

Greatest common factor (GCF) of 84429 and 84441 is 3.

GCF(84429,84441) = 3

We will now calculate the prime factors of 84429 and 84441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84429 and 84441.

How to find the GCF of 84429 and 84441?

We will first find the prime factorization of 84429 and 84441. After we will calculate the factors of 84429 and 84441 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 84441

Prime factors of 84441 are 3, 7, 4021. Prime factorization of 84441 in exponential form is:

84441 = 3¹ × 7¹ × 4021¹

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 84441

List of positive integer factors of 84441 that divides 84429 without a remainder.

1, 3, 7, 21, 4021, 12063, 28147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84429 and 84441. The biggest common factor number is the GCF number.
So the greatest common factor 84429 and 84441 is 3.

Also check out the Least Common Multiple of 84429 and 84441