What is the Greatest Common Factor of 28350 and 28355?

Greatest common factor (GCF) of 28350 and 28355 is 5.

GCF(28350,28355) = 5

We will now calculate the prime factors of 28350 and 28355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28350 and 28355.

How to find the GCF of 28350 and 28355?

We will first find the prime factorization of 28350 and 28355. After we will calculate the factors of 28350 and 28355 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 28355

Prime factors of 28355 are 5, 53, 107. Prime factorization of 28355 in exponential form is:

28355 = 5¹ × 53¹ × 107¹

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 28355

List of positive integer factors of 28355 that divides 28350 without a remainder.

1, 5, 53, 107, 265, 535, 5671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28350 and 28355. The biggest common factor number is the GCF number.
So the greatest common factor 28350 and 28355 is 5.

Also check out the Least Common Multiple of 28350 and 28355