What is the Greatest Common Factor of 90564 and 90576?

Greatest common factor (GCF) of 90564 and 90576 is 12.

GCF(90564,90576) = 12

We will now calculate the prime factors of 90564 and 90576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90564 and 90576.

How to find the GCF of 90564 and 90576?

We will first find the prime factorization of 90564 and 90576. After we will calculate the factors of 90564 and 90576 and find the biggest common factor number .

Step-1: Prime Factorization of 90564

Prime factors of 90564 are 2, 3, 7547. Prime factorization of 90564 in exponential form is:

90564 = 2² × 3¹ × 7547¹

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 90564

List of positive integer factors of 90564 that divides 90564 without a remainder.

1, 2, 3, 4, 6, 12, 7547, 15094, 22641, 30188, 45282

Step-4: Factors of 90576

List of positive integer factors of 90576 that divides 90564 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 90564 and 90576. The biggest common factor number is the GCF number.
So the greatest common factor 90564 and 90576 is 12.

Also check out the Least Common Multiple of 90564 and 90576