What is the Greatest Common Factor of 96561 and 96576?

Greatest common factor (GCF) of 96561 and 96576 is 3.

GCF(96561,96576) = 3

We will now calculate the prime factors of 96561 and 96576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96561 and 96576.

How to find the GCF of 96561 and 96576?

We will first find the prime factorization of 96561 and 96576. After we will calculate the factors of 96561 and 96576 and find the biggest common factor number .

Step-1: Prime Factorization of 96561

Prime factors of 96561 are 3, 10729. Prime factorization of 96561 in exponential form is:

96561 = 3² × 10729¹

Step-2: Prime Factorization of 96576

Prime factors of 96576 are 2, 3, 503. Prime factorization of 96576 in exponential form is:

96576 = 2⁶ × 3¹ × 503¹

Step-3: Factors of 96561

List of positive integer factors of 96561 that divides 96561 without a remainder.

1, 3, 9, 10729, 32187

Step-4: Factors of 96576

List of positive integer factors of 96576 that divides 96561 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072, 16096, 24144, 32192, 48288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96561 and 96576. The biggest common factor number is the GCF number.
So the greatest common factor 96561 and 96576 is 3.

Also check out the Least Common Multiple of 96561 and 96576