What is the Greatest Common Factor of 28380 and 28390?

Greatest common factor (GCF) of 28380 and 28390 is 10.

GCF(28380,28390) = 10

We will now calculate the prime factors of 28380 and 28390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28380 and 28390.

How to find the GCF of 28380 and 28390?

We will first find the prime factorization of 28380 and 28390. After we will calculate the factors of 28380 and 28390 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 28390

Prime factors of 28390 are 2, 5, 17, 167. Prime factorization of 28390 in exponential form is:

28390 = 2¹ × 5¹ × 17¹ × 167¹

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 28390

List of positive integer factors of 28390 that divides 28380 without a remainder.

1, 2, 5, 10, 17, 34, 85, 167, 170, 334, 835, 1670, 2839, 5678, 14195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28380 and 28390. The biggest common factor number is the GCF number.
So the greatest common factor 28380 and 28390 is 10.

Also check out the Least Common Multiple of 28380 and 28390