What is the Greatest Common Factor of 96543 and 96549?

Greatest common factor (GCF) of 96543 and 96549 is 3.

GCF(96543,96549) = 3

We will now calculate the prime factors of 96543 and 96549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96543 and 96549.

How to find the GCF of 96543 and 96549?

We will first find the prime factorization of 96543 and 96549. After we will calculate the factors of 96543 and 96549 and find the biggest common factor number .

Step-1: Prime Factorization of 96543

Prime factors of 96543 are 3, 17, 631. Prime factorization of 96543 in exponential form is:

96543 = 3² × 17¹ × 631¹

Step-2: Prime Factorization of 96549

Prime factors of 96549 are 3, 32183. Prime factorization of 96549 in exponential form is:

96549 = 3¹ × 32183¹

Step-3: Factors of 96543

List of positive integer factors of 96543 that divides 96543 without a remainder.

1, 3, 9, 17, 51, 153, 631, 1893, 5679, 10727, 32181

Step-4: Factors of 96549

List of positive integer factors of 96549 that divides 96543 without a remainder.

1, 3, 32183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96543 and 96549. The biggest common factor number is the GCF number.
So the greatest common factor 96543 and 96549 is 3.

Also check out the Least Common Multiple of 96543 and 96549