What is the Greatest Common Factor of 28380 and 28399?

Greatest common factor (GCF) of 28380 and 28399 is 1.

GCF(28380,28399) = 1

We will now calculate the prime factors of 28380 and 28399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28380 and 28399.

How to find the GCF of 28380 and 28399?

We will first find the prime factorization of 28380 and 28399. After we will calculate the factors of 28380 and 28399 and find the biggest common factor number .

Step-1: Prime Factorization of 28380

Prime factors of 28380 are 2, 3, 5, 11, 43. Prime factorization of 28380 in exponential form is:

28380 = 2² × 3¹ × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 28399

Prime factors of 28399 are 7, 4057. Prime factorization of 28399 in exponential form is:

28399 = 7¹ × 4057¹

Step-3: Factors of 28380

List of positive integer factors of 28380 that divides 28380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 43, 44, 55, 60, 66, 86, 110, 129, 132, 165, 172, 215, 220, 258, 330, 430, 473, 516, 645, 660, 860, 946, 1290, 1419, 1892, 2365, 2580, 2838, 4730, 5676, 7095, 9460, 14190

Step-4: Factors of 28399

List of positive integer factors of 28399 that divides 28380 without a remainder.

1, 7, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28380 and 28399. The biggest common factor number is the GCF number.
So the greatest common factor 28380 and 28399 is 1.

Also check out the Least Common Multiple of 28380 and 28399