What is the Greatest Common Factor of 28365 and 28380?

Greatest common factor (GCF) of 28365 and 28380 is 15.

GCF(28365,28380) = 15

We will now calculate the prime factors of 28365 and 28380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28380.

How to find the GCF of 28365 and 28380?

We will first find the prime factorization of 28365 and 28380. After we will calculate the factors of 28365 and 28380 and find the biggest common factor number .

Step-1: Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 3¹ × 5¹ × 31¹ × 61¹

Step-2: 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-3: Factors of 28365

List of positive integer factors of 28365 that divides 28365 without a remainder.

1, 3, 5, 15, 31, 61, 93, 155, 183, 305, 465, 915, 1891, 5673, 9455

Step-4: Factors of 28380

List of positive integer factors of 28380 that divides 28365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28380. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28380 is 15.

Also check out the Least Common Multiple of 28365 and 28380