What is the Greatest Common Factor of 96489 and 96503?

Greatest common factor (GCF) of 96489 and 96503 is 1.

GCF(96489,96503) = 1

We will now calculate the prime factors of 96489 and 96503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96489 and 96503.

How to find the GCF of 96489 and 96503?

We will first find the prime factorization of 96489 and 96503. After we will calculate the factors of 96489 and 96503 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 96503

Prime factors of 96503 are 11, 31, 283. Prime factorization of 96503 in exponential form is:

96503 = 11¹ × 31¹ × 283¹

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 96503

List of positive integer factors of 96503 that divides 96489 without a remainder.

1, 11, 31, 283, 341, 3113, 8773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96489 and 96503. The biggest common factor number is the GCF number.
So the greatest common factor 96489 and 96503 is 1.

Also check out the Least Common Multiple of 96489 and 96503