What is the Greatest Common Factor of 28340 and 28350?

Greatest common factor (GCF) of 28340 and 28350 is 10.

GCF(28340,28350) = 10

We will now calculate the prime factors of 28340 and 28350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28350.

How to find the GCF of 28340 and 28350?

We will first find the prime factorization of 28340 and 28350. After we will calculate the factors of 28340 and 28350 and find the biggest common factor number .

Step-1: Prime Factorization of 28340

Prime factors of 28340 are 2, 5, 13, 109. Prime factorization of 28340 in exponential form is:

28340 = 2² × 5¹ × 13¹ × 109¹

Step-2: 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-3: Factors of 28340

List of positive integer factors of 28340 that divides 28340 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545, 1090, 1417, 2180, 2834, 5668, 7085, 14170

Step-4: Factors of 28350

List of positive integer factors of 28350 that divides 28340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28350. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28350 is 10.

Also check out the Least Common Multiple of 28340 and 28350