What is the Greatest Common Factor of 96558 and 96576?

Greatest common factor (GCF) of 96558 and 96576 is 6.

GCF(96558,96576) = 6

We will now calculate the prime factors of 96558 and 96576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96558 and 96576.

How to find the GCF of 96558 and 96576?

We will first find the prime factorization of 96558 and 96576. After we will calculate the factors of 96558 and 96576 and find the biggest common factor number .

Step-1: Prime Factorization of 96558

Prime factors of 96558 are 2, 3, 7, 11, 19. Prime factorization of 96558 in exponential form is:

96558 = 2¹ × 3¹ × 7¹ × 11² × 19¹

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 96558

List of positive integer factors of 96558 that divides 96558 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 121, 133, 154, 209, 231, 242, 266, 363, 399, 418, 462, 627, 726, 798, 847, 1254, 1463, 1694, 2299, 2541, 2926, 4389, 4598, 5082, 6897, 8778, 13794, 16093, 32186, 48279

Step-4: Factors of 96576

List of positive integer factors of 96576 that divides 96558 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 96558 and 96576. The biggest common factor number is the GCF number.
So the greatest common factor 96558 and 96576 is 6.

Also check out the Least Common Multiple of 96558 and 96576