What is the Greatest Common Factor of 28350 and 28368?

Greatest common factor (GCF) of 28350 and 28368 is 18.

GCF(28350,28368) = 18

We will now calculate the prime factors of 28350 and 28368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28350 and 28368.

How to find the GCF of 28350 and 28368?

We will first find the prime factorization of 28350 and 28368. After we will calculate the factors of 28350 and 28368 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 28368

Prime factors of 28368 are 2, 3, 197. Prime factorization of 28368 in exponential form is:

28368 = 2⁴ × 3² × 197¹

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 28368

List of positive integer factors of 28368 that divides 28350 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 197, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 7092, 9456, 14184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28350 and 28368. The biggest common factor number is the GCF number.
So the greatest common factor 28350 and 28368 is 18.

Also check out the Least Common Multiple of 28350 and 28368