What is the Greatest Common Factor of 90588 and 90600?

Greatest common factor (GCF) of 90588 and 90600 is 12.

GCF(90588,90600) = 12

We will now calculate the prime factors of 90588 and 90600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90588 and 90600.

How to find the GCF of 90588 and 90600?

We will first find the prime factorization of 90588 and 90600. After we will calculate the factors of 90588 and 90600 and find the biggest common factor number .

Step-1: Prime Factorization of 90588

Prime factors of 90588 are 2, 3, 7549. Prime factorization of 90588 in exponential form is:

90588 = 2² × 3¹ × 7549¹

Step-2: Prime Factorization of 90600

Prime factors of 90600 are 2, 3, 5, 151. Prime factorization of 90600 in exponential form is:

90600 = 2³ × 3¹ × 5² × 151¹

Step-3: Factors of 90588

List of positive integer factors of 90588 that divides 90588 without a remainder.

1, 2, 3, 4, 6, 12, 7549, 15098, 22647, 30196, 45294

Step-4: Factors of 90600

List of positive integer factors of 90600 that divides 90588 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 151, 200, 300, 302, 453, 600, 604, 755, 906, 1208, 1510, 1812, 2265, 3020, 3624, 3775, 4530, 6040, 7550, 9060, 11325, 15100, 18120, 22650, 30200, 45300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90588 and 90600. The biggest common factor number is the GCF number.
So the greatest common factor 90588 and 90600 is 12.

Also check out the Least Common Multiple of 90588 and 90600