What is the Greatest Common Factor of 28380 and 28395?

Greatest common factor (GCF) of 28380 and 28395 is 15.

GCF(28380,28395) = 15

We will now calculate the prime factors of 28380 and 28395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28380 and 28395.

How to find the GCF of 28380 and 28395?

We will first find the prime factorization of 28380 and 28395. After we will calculate the factors of 28380 and 28395 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 28395

Prime factors of 28395 are 3, 5, 631. Prime factorization of 28395 in exponential form is:

28395 = 3² × 5¹ × 631¹

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 28395

List of positive integer factors of 28395 that divides 28380 without a remainder.

1, 3, 5, 9, 15, 45, 631, 1893, 3155, 5679, 9465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28380 and 28395. The biggest common factor number is the GCF number.
So the greatest common factor 28380 and 28395 is 15.

Also check out the Least Common Multiple of 28380 and 28395