What is the Greatest Common Factor of 90540 and 90558?

Greatest common factor (GCF) of 90540 and 90558 is 18.

GCF(90540,90558) = 18

We will now calculate the prime factors of 90540 and 90558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90540 and 90558.

How to find the GCF of 90540 and 90558?

We will first find the prime factorization of 90540 and 90558. After we will calculate the factors of 90540 and 90558 and find the biggest common factor number .

Step-1: Prime Factorization of 90540

Prime factors of 90540 are 2, 3, 5, 503. Prime factorization of 90540 in exponential form is:

90540 = 2² × 3² × 5¹ × 503¹

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 90540

List of positive integer factors of 90540 that divides 90540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 503, 1006, 1509, 2012, 2515, 3018, 4527, 5030, 6036, 7545, 9054, 10060, 15090, 18108, 22635, 30180, 45270

Step-4: Factors of 90558

List of positive integer factors of 90558 that divides 90540 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 90540 and 90558. The biggest common factor number is the GCF number.
So the greatest common factor 90540 and 90558 is 18.

Also check out the Least Common Multiple of 90540 and 90558