What is the Greatest Common Factor of 90539 and 90558?

Greatest common factor (GCF) of 90539 and 90558 is 1.

GCF(90539,90558) = 1

We will now calculate the prime factors of 90539 and 90558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90539 and 90558.

How to find the GCF of 90539 and 90558?

We will first find the prime factorization of 90539 and 90558. After we will calculate the factors of 90539 and 90558 and find the biggest common factor number .

Step-1: Prime Factorization of 90539

Prime factors of 90539 are 37, 2447. Prime factorization of 90539 in exponential form is:

90539 = 37¹ × 2447¹

Step-2: 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-3: Factors of 90539

List of positive integer factors of 90539 that divides 90539 without a remainder.

1, 37, 2447

Step-4: Factors of 90558

List of positive integer factors of 90558 that divides 90539 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90539 and 90558. The biggest common factor number is the GCF number.
So the greatest common factor 90539 and 90558 is 1.

Also check out the Least Common Multiple of 90539 and 90558