What is the Greatest Common Factor of 89556 and 89568?

Greatest common factor (GCF) of 89556 and 89568 is 12.

GCF(89556,89568) = 12

We will now calculate the prime factors of 89556 and 89568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89556 and 89568.

How to find the GCF of 89556 and 89568?

We will first find the prime factorization of 89556 and 89568. After we will calculate the factors of 89556 and 89568 and find the biggest common factor number .

Step-1: Prime Factorization of 89556

Prime factors of 89556 are 2, 3, 17, 439. Prime factorization of 89556 in exponential form is:

89556 = 2² × 3¹ × 17¹ × 439¹

Step-2: Prime Factorization of 89568

Prime factors of 89568 are 2, 3, 311. Prime factorization of 89568 in exponential form is:

89568 = 2⁵ × 3² × 311¹

Step-3: Factors of 89556

List of positive integer factors of 89556 that divides 89556 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 439, 878, 1317, 1756, 2634, 5268, 7463, 14926, 22389, 29852, 44778

Step-4: Factors of 89568

List of positive integer factors of 89568 that divides 89556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 4976, 5598, 7464, 9952, 11196, 14928, 22392, 29856, 44784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89556 and 89568. The biggest common factor number is the GCF number.
So the greatest common factor 89556 and 89568 is 12.

Also check out the Least Common Multiple of 89556 and 89568