What is the Greatest Common Factor of 96531 and 96543?

Greatest common factor (GCF) of 96531 and 96543 is 3.

GCF(96531,96543) = 3

We will now calculate the prime factors of 96531 and 96543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96531 and 96543.

How to find the GCF of 96531 and 96543?

We will first find the prime factorization of 96531 and 96543. After we will calculate the factors of 96531 and 96543 and find the biggest common factor number .

Step-1: Prime Factorization of 96531

Prime factors of 96531 are 3, 23, 1399. Prime factorization of 96531 in exponential form is:

96531 = 3¹ × 23¹ × 1399¹

Step-2: 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-3: Factors of 96531

List of positive integer factors of 96531 that divides 96531 without a remainder.

1, 3, 23, 69, 1399, 4197, 32177

Step-4: Factors of 96543

List of positive integer factors of 96543 that divides 96531 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96531 and 96543. The biggest common factor number is the GCF number.
So the greatest common factor 96531 and 96543 is 3.

Also check out the Least Common Multiple of 96531 and 96543