What is the Greatest Common Factor of 28320 and 28324?

Greatest common factor (GCF) of 28320 and 28324 is 4.

GCF(28320,28324) = 4

We will now calculate the prime factors of 28320 and 28324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28320 and 28324.

How to find the GCF of 28320 and 28324?

We will first find the prime factorization of 28320 and 28324. After we will calculate the factors of 28320 and 28324 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 28324

Prime factors of 28324 are 2, 73, 97. Prime factorization of 28324 in exponential form is:

28324 = 2² × 73¹ × 97¹

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 28324

List of positive integer factors of 28324 that divides 28320 without a remainder.

1, 2, 4, 73, 97, 146, 194, 292, 388, 7081, 14162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28320 and 28324. The biggest common factor number is the GCF number.
So the greatest common factor 28320 and 28324 is 4.

Also check out the Least Common Multiple of 28320 and 28324