What is the Greatest Common Factor of 90600 and 90615?

Greatest common factor (GCF) of 90600 and 90615 is 15.

GCF(90600,90615) = 15

We will now calculate the prime factors of 90600 and 90615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90600 and 90615.

How to find the GCF of 90600 and 90615?

We will first find the prime factorization of 90600 and 90615. After we will calculate the factors of 90600 and 90615 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 90615

Prime factors of 90615 are 3, 5, 7, 863. Prime factorization of 90615 in exponential form is:

90615 = 3¹ × 5¹ × 7¹ × 863¹

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 90615

List of positive integer factors of 90615 that divides 90600 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 863, 2589, 4315, 6041, 12945, 18123, 30205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90600 and 90615. The biggest common factor number is the GCF number.
So the greatest common factor 90600 and 90615 is 15.

Also check out the Least Common Multiple of 90600 and 90615