What is the Greatest Common Factor of 28320 and 28340?

Greatest common factor (GCF) of 28320 and 28340 is 20.

GCF(28320,28340) = 20

We will now calculate the prime factors of 28320 and 28340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28320 and 28340.

How to find the GCF of 28320 and 28340?

We will first find the prime factorization of 28320 and 28340. After we will calculate the factors of 28320 and 28340 and find the biggest common factor number .

Step-1: Prime Factorization of 28320

Prime factors of 28320 are 2, 3, 5, 59. Prime factorization of 28320 in exponential form is:

28320 = 2⁵ × 3¹ × 5¹ × 59¹

Step-2: 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-3: Factors of 28320

List of positive integer factors of 28320 that divides 28320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 59, 60, 80, 96, 118, 120, 160, 177, 236, 240, 295, 354, 472, 480, 590, 708, 885, 944, 1180, 1416, 1770, 1888, 2360, 2832, 3540, 4720, 5664, 7080, 9440, 14160

Step-4: Factors of 28340

List of positive integer factors of 28340 that divides 28320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28320 and 28340. The biggest common factor number is the GCF number.
So the greatest common factor 28320 and 28340 is 20.

Also check out the Least Common Multiple of 28320 and 28340