What is the Greatest Common Factor of 96489 and 96507?

Greatest common factor (GCF) of 96489 and 96507 is 9.

GCF(96489,96507) = 9

We will now calculate the prime factors of 96489 and 96507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96489 and 96507.

How to find the GCF of 96489 and 96507?

We will first find the prime factorization of 96489 and 96507. After we will calculate the factors of 96489 and 96507 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 96507

Prime factors of 96507 are 3, 10723. Prime factorization of 96507 in exponential form is:

96507 = 3² × 10723¹

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 96507

List of positive integer factors of 96507 that divides 96489 without a remainder.

1, 3, 9, 10723, 32169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96489 and 96507. The biggest common factor number is the GCF number.
So the greatest common factor 96489 and 96507 is 9.

Also check out the Least Common Multiple of 96489 and 96507