What is the Greatest Common Factor of 28350 and 28365?

Greatest common factor (GCF) of 28350 and 28365 is 15.

GCF(28350,28365) = 15

We will now calculate the prime factors of 28350 and 28365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28350 and 28365.

How to find the GCF of 28350 and 28365?

We will first find the prime factorization of 28350 and 28365. After we will calculate the factors of 28350 and 28365 and find the biggest common factor number .

Step-1: Prime Factorization of 28350

Prime factors of 28350 are 2, 3, 5, 7. Prime factorization of 28350 in exponential form is:

28350 = 2¹ × 3⁴ × 5² × 7¹

Step-2: Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 3¹ × 5¹ × 31¹ × 61¹

Step-3: Factors of 28350

List of positive integer factors of 28350 that divides 28350 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 81, 90, 105, 126, 135, 150, 162, 175, 189, 210, 225, 270, 315, 350, 378, 405, 450, 525, 567, 630, 675, 810, 945, 1050, 1134, 1350, 1575, 1890, 2025, 2835, 3150, 4050, 4725, 5670, 9450, 14175

Step-4: Factors of 28365

List of positive integer factors of 28365 that divides 28350 without a remainder.

1, 3, 5, 15, 31, 61, 93, 155, 183, 305, 465, 915, 1891, 5673, 9455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28350 and 28365. The biggest common factor number is the GCF number.
So the greatest common factor 28350 and 28365 is 15.

Also check out the Least Common Multiple of 28350 and 28365