What is the Greatest Common Factor of 90576 and 90592?

Greatest common factor (GCF) of 90576 and 90592 is 16.

GCF(90576,90592) = 16

We will now calculate the prime factors of 90576 and 90592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90576 and 90592.

How to find the GCF of 90576 and 90592?

We will first find the prime factorization of 90576 and 90592. After we will calculate the factors of 90576 and 90592 and find the biggest common factor number .

Step-1: Prime Factorization of 90576

Prime factors of 90576 are 2, 3, 17, 37. Prime factorization of 90576 in exponential form is:

90576 = 2⁴ × 3² × 17¹ × 37¹

Step-2: Prime Factorization of 90592

Prime factors of 90592 are 2, 19, 149. Prime factorization of 90592 in exponential form is:

90592 = 2⁵ × 19¹ × 149¹

Step-3: Factors of 90576

List of positive integer factors of 90576 that divides 90576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 37, 48, 51, 68, 72, 74, 102, 111, 136, 144, 148, 153, 204, 222, 272, 296, 306, 333, 408, 444, 592, 612, 629, 666, 816, 888, 1224, 1258, 1332, 1776, 1887, 2448, 2516, 2664, 3774, 5032, 5328, 5661, 7548, 10064, 11322, 15096, 22644, 30192, 45288

Step-4: Factors of 90592

List of positive integer factors of 90592 that divides 90576 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 149, 152, 298, 304, 596, 608, 1192, 2384, 2831, 4768, 5662, 11324, 22648, 45296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90576 and 90592. The biggest common factor number is the GCF number.
So the greatest common factor 90576 and 90592 is 16.

Also check out the Least Common Multiple of 90576 and 90592