What is the Greatest Common Factor of 28380 and 28385?

Greatest common factor (GCF) of 28380 and 28385 is 5.

GCF(28380,28385) = 5

We will now calculate the prime factors of 28380 and 28385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28380 and 28385.

How to find the GCF of 28380 and 28385?

We will first find the prime factorization of 28380 and 28385. After we will calculate the factors of 28380 and 28385 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 28385

Prime factors of 28385 are 5, 7, 811. Prime factorization of 28385 in exponential form is:

28385 = 5¹ × 7¹ × 811¹

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 28385

List of positive integer factors of 28385 that divides 28380 without a remainder.

1, 5, 7, 35, 811, 4055, 5677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28380 and 28385. The biggest common factor number is the GCF number.
So the greatest common factor 28380 and 28385 is 5.

Also check out the Least Common Multiple of 28380 and 28385