What is the Greatest Common Factor of 90600 and 90605?

Greatest common factor (GCF) of 90600 and 90605 is 5.

GCF(90600,90605) = 5

We will now calculate the prime factors of 90600 and 90605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90600 and 90605.

How to find the GCF of 90600 and 90605?

We will first find the prime factorization of 90600 and 90605. After we will calculate the factors of 90600 and 90605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90605

Prime factors of 90605 are 5, 18121. Prime factorization of 90605 in exponential form is:

90605 = 5¹ × 18121¹

Step-3: Factors of 90600

List of positive integer factors of 90600 that divides 90600 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

Step-4: Factors of 90605

List of positive integer factors of 90605 that divides 90600 without a remainder.

1, 5, 18121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90600 and 90605. The biggest common factor number is the GCF number.
So the greatest common factor 90600 and 90605 is 5.

Also check out the Least Common Multiple of 90600 and 90605