What is the Greatest Common Factor of 93489 and 93498?

Greatest common factor (GCF) of 93489 and 93498 is 3.

GCF(93489,93498) = 3

We will now calculate the prime factors of 93489 and 93498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93489 and 93498.

How to find the GCF of 93489 and 93498?

We will first find the prime factorization of 93489 and 93498. After we will calculate the factors of 93489 and 93498 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93498

Prime factors of 93498 are 2, 3, 15583. Prime factorization of 93498 in exponential form is:

93498 = 2¹ × 3¹ × 15583¹

Step-3: Factors of 93489

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

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

Step-4: Factors of 93498

List of positive integer factors of 93498 that divides 93489 without a remainder.

1, 2, 3, 6, 15583, 31166, 46749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93489 and 93498. The biggest common factor number is the GCF number.
So the greatest common factor 93489 and 93498 is 3.

Also check out the Least Common Multiple of 93489 and 93498