What is the Greatest Common Factor of 28350 and 28370?

Greatest common factor (GCF) of 28350 and 28370 is 10.

GCF(28350,28370) = 10

We will now calculate the prime factors of 28350 and 28370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28350 and 28370.

How to find the GCF of 28350 and 28370?

We will first find the prime factorization of 28350 and 28370. After we will calculate the factors of 28350 and 28370 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 28370

Prime factors of 28370 are 2, 5, 2837. Prime factorization of 28370 in exponential form is:

28370 = 2¹ × 5¹ × 2837¹

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 28370

List of positive integer factors of 28370 that divides 28350 without a remainder.

1, 2, 5, 10, 2837, 5674, 14185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28350 and 28370. The biggest common factor number is the GCF number.
So the greatest common factor 28350 and 28370 is 10.

Also check out the Least Common Multiple of 28350 and 28370