What is the Greatest Common Factor of 96489 and 96501?

Greatest common factor (GCF) of 96489 and 96501 is 3.

GCF(96489,96501) = 3

We will now calculate the prime factors of 96489 and 96501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96489 and 96501.

How to find the GCF of 96489 and 96501?

We will first find the prime factorization of 96489 and 96501. After we will calculate the factors of 96489 and 96501 and find the biggest common factor number .

Step-1: Prime Factorization of 96489

Prime factors of 96489 are 3, 71, 151. Prime factorization of 96489 in exponential form is:

96489 = 3² × 71¹ × 151¹

Step-2: Prime Factorization of 96501

Prime factors of 96501 are 3, 19, 1693. Prime factorization of 96501 in exponential form is:

96501 = 3¹ × 19¹ × 1693¹

Step-3: Factors of 96489

List of positive integer factors of 96489 that divides 96489 without a remainder.

1, 3, 9, 71, 151, 213, 453, 639, 1359, 10721, 32163

Step-4: Factors of 96501

List of positive integer factors of 96501 that divides 96489 without a remainder.

1, 3, 19, 57, 1693, 5079, 32167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96489 and 96501. The biggest common factor number is the GCF number.
So the greatest common factor 96489 and 96501 is 3.

Also check out the Least Common Multiple of 96489 and 96501