What is the Greatest Common Factor of 28360 and 28372?

Greatest common factor (GCF) of 28360 and 28372 is 4.

GCF(28360,28372) = 4

We will now calculate the prime factors of 28360 and 28372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28360 and 28372.

How to find the GCF of 28360 and 28372?

We will first find the prime factorization of 28360 and 28372. After we will calculate the factors of 28360 and 28372 and find the biggest common factor number .

Step-1: Prime Factorization of 28360

Prime factors of 28360 are 2, 5, 709. Prime factorization of 28360 in exponential form is:

28360 = 2³ × 5¹ × 709¹

Step-2: Prime Factorization of 28372

Prime factors of 28372 are 2, 41, 173. Prime factorization of 28372 in exponential form is:

28372 = 2² × 41¹ × 173¹

Step-3: Factors of 28360

List of positive integer factors of 28360 that divides 28360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 709, 1418, 2836, 3545, 5672, 7090, 14180

Step-4: Factors of 28372

List of positive integer factors of 28372 that divides 28360 without a remainder.

1, 2, 4, 41, 82, 164, 173, 346, 692, 7093, 14186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28360 and 28372. The biggest common factor number is the GCF number.
So the greatest common factor 28360 and 28372 is 4.

Also check out the Least Common Multiple of 28360 and 28372