What is the Greatest Common Factor of 90558 and 90571?

Greatest common factor (GCF) of 90558 and 90571 is 13.

GCF(90558,90571) = 13

We will now calculate the prime factors of 90558 and 90571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90558 and 90571.

How to find the GCF of 90558 and 90571?

We will first find the prime factorization of 90558 and 90571. After we will calculate the factors of 90558 and 90571 and find the biggest common factor number .

Step-1: Prime Factorization of 90558

Prime factors of 90558 are 2, 3, 13, 43. Prime factorization of 90558 in exponential form is:

90558 = 2¹ × 3⁴ × 13¹ × 43¹

Step-2: Prime Factorization of 90571

Prime factors of 90571 are 13, 6967. Prime factorization of 90571 in exponential form is:

90571 = 13¹ × 6967¹

Step-3: Factors of 90558

List of positive integer factors of 90558 that divides 90558 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 43, 54, 78, 81, 86, 117, 129, 162, 234, 258, 351, 387, 559, 702, 774, 1053, 1118, 1161, 1677, 2106, 2322, 3354, 3483, 5031, 6966, 10062, 15093, 30186, 45279

Step-4: Factors of 90571

List of positive integer factors of 90571 that divides 90558 without a remainder.

1, 13, 6967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90558 and 90571. The biggest common factor number is the GCF number.
So the greatest common factor 90558 and 90571 is 13.

Also check out the Least Common Multiple of 90558 and 90571