What is the Greatest Common Factor of 28176 and 28185?

Greatest common factor (GCF) of 28176 and 28185 is 3.

GCF(28176,28185) = 3

We will now calculate the prime factors of 28176 and 28185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28176 and 28185.

How to find the GCF of 28176 and 28185?

We will first find the prime factorization of 28176 and 28185. After we will calculate the factors of 28176 and 28185 and find the biggest common factor number .

Step-1: Prime Factorization of 28176

Prime factors of 28176 are 2, 3, 587. Prime factorization of 28176 in exponential form is:

28176 = 2⁴ × 3¹ × 587¹

Step-2: Prime Factorization of 28185

Prime factors of 28185 are 3, 5, 1879. Prime factorization of 28185 in exponential form is:

28185 = 3¹ × 5¹ × 1879¹

Step-3: Factors of 28176

List of positive integer factors of 28176 that divides 28176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 587, 1174, 1761, 2348, 3522, 4696, 7044, 9392, 14088

Step-4: Factors of 28185

List of positive integer factors of 28185 that divides 28176 without a remainder.

1, 3, 5, 15, 1879, 5637, 9395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28176 and 28185. The biggest common factor number is the GCF number.
So the greatest common factor 28176 and 28185 is 3.

Also check out the Least Common Multiple of 28176 and 28185