What is the Greatest Common Factor of 90560 and 90576?

Greatest common factor (GCF) of 90560 and 90576 is 16.

GCF(90560,90576) = 16

We will now calculate the prime factors of 90560 and 90576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90560 and 90576.

How to find the GCF of 90560 and 90576?

We will first find the prime factorization of 90560 and 90576. After we will calculate the factors of 90560 and 90576 and find the biggest common factor number .

Step-1: Prime Factorization of 90560

Prime factors of 90560 are 2, 5, 283. Prime factorization of 90560 in exponential form is:

90560 = 2⁶ × 5¹ × 283¹

Step-2: 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-3: Factors of 90560

List of positive integer factors of 90560 that divides 90560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 283, 320, 566, 1132, 1415, 2264, 2830, 4528, 5660, 9056, 11320, 18112, 22640, 45280

Step-4: Factors of 90576

List of positive integer factors of 90576 that divides 90560 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90560 and 90576. The biggest common factor number is the GCF number.
So the greatest common factor 90560 and 90576 is 16.

Also check out the Least Common Multiple of 90560 and 90576