What is the Greatest Common Factor of 84459 and 84474?

Greatest common factor (GCF) of 84459 and 84474 is 3.

GCF(84459,84474) = 3

We will now calculate the prime factors of 84459 and 84474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84459 and 84474.

How to find the GCF of 84459 and 84474?

We will first find the prime factorization of 84459 and 84474. After we will calculate the factors of 84459 and 84474 and find the biggest common factor number .

Step-1: Prime Factorization of 84459

Prime factors of 84459 are 3, 47, 599. Prime factorization of 84459 in exponential form is:

84459 = 3¹ × 47¹ × 599¹

Step-2: Prime Factorization of 84474

Prime factors of 84474 are 2, 3, 13, 19. Prime factorization of 84474 in exponential form is:

84474 = 2¹ × 3² × 13¹ × 19²

Step-3: Factors of 84459

List of positive integer factors of 84459 that divides 84459 without a remainder.

1, 3, 47, 141, 599, 1797, 28153

Step-4: Factors of 84474

List of positive integer factors of 84474 that divides 84459 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 361, 494, 722, 741, 1083, 1482, 2166, 2223, 3249, 4446, 4693, 6498, 9386, 14079, 28158, 42237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84459 and 84474. The biggest common factor number is the GCF number.
So the greatest common factor 84459 and 84474 is 3.

Also check out the Least Common Multiple of 84459 and 84474