What is the Greatest Common Factor of 96558 and 96572?

Greatest common factor (GCF) of 96558 and 96572 is 14.

GCF(96558,96572) = 14

We will now calculate the prime factors of 96558 and 96572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96558 and 96572.

How to find the GCF of 96558 and 96572?

We will first find the prime factorization of 96558 and 96572. After we will calculate the factors of 96558 and 96572 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 96572

Prime factors of 96572 are 2, 7, 3449. Prime factorization of 96572 in exponential form is:

96572 = 2² × 7¹ × 3449¹

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 96572

List of positive integer factors of 96572 that divides 96558 without a remainder.

1, 2, 4, 7, 14, 28, 3449, 6898, 13796, 24143, 48286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96558 and 96572. The biggest common factor number is the GCF number.
So the greatest common factor 96558 and 96572 is 14.

Also check out the Least Common Multiple of 96558 and 96572