What is the Greatest Common Factor of 93474 and 93489?

Greatest common factor (GCF) of 93474 and 93489 is 3.

GCF(93474,93489) = 3

We will now calculate the prime factors of 93474 and 93489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93474 and 93489.

How to find the GCF of 93474 and 93489?

We will first find the prime factorization of 93474 and 93489. After we will calculate the factors of 93474 and 93489 and find the biggest common factor number .

Step-1: Prime Factorization of 93474

Prime factors of 93474 are 2, 3, 577. Prime factorization of 93474 in exponential form is:

93474 = 2¹ × 3⁴ × 577¹

Step-2: Prime Factorization of 93489

Prime factors of 93489 are 3, 11, 2833. Prime factorization of 93489 in exponential form is:

93489 = 3¹ × 11¹ × 2833¹

Step-3: Factors of 93474

List of positive integer factors of 93474 that divides 93474 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 577, 1154, 1731, 3462, 5193, 10386, 15579, 31158, 46737

Step-4: Factors of 93489

List of positive integer factors of 93489 that divides 93474 without a remainder.

1, 3, 11, 33, 2833, 8499, 31163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93474 and 93489. The biggest common factor number is the GCF number.
So the greatest common factor 93474 and 93489 is 3.

Also check out the Least Common Multiple of 93474 and 93489