What is the Greatest Common Factor of 84474 and 84489?

Greatest common factor (GCF) of 84474 and 84489 is 3.

GCF(84474,84489) = 3

We will now calculate the prime factors of 84474 and 84489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84474 and 84489.

How to find the GCF of 84474 and 84489?

We will first find the prime factorization of 84474 and 84489. After we will calculate the factors of 84474 and 84489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84489

Prime factors of 84489 are 3, 28163. Prime factorization of 84489 in exponential form is:

84489 = 3¹ × 28163¹

Step-3: Factors of 84474

List of positive integer factors of 84474 that divides 84474 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

Step-4: Factors of 84489

List of positive integer factors of 84489 that divides 84474 without a remainder.

1, 3, 28163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84474 and 84489. The biggest common factor number is the GCF number.
So the greatest common factor 84474 and 84489 is 3.

Also check out the Least Common Multiple of 84474 and 84489