What is the Greatest Common Factor of 78390 and 78405?

Greatest common factor (GCF) of 78390 and 78405 is 15.

GCF(78390,78405) = 15

We will now calculate the prime factors of 78390 and 78405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78390 and 78405.

How to find the GCF of 78390 and 78405?

We will first find the prime factorization of 78390 and 78405. After we will calculate the factors of 78390 and 78405 and find the biggest common factor number .

Step-1: Prime Factorization of 78390

Prime factors of 78390 are 2, 3, 5, 13, 67. Prime factorization of 78390 in exponential form is:

78390 = 2¹ × 3² × 5¹ × 13¹ × 67¹

Step-2: Prime Factorization of 78405

Prime factors of 78405 are 3, 5, 5227. Prime factorization of 78405 in exponential form is:

78405 = 3¹ × 5¹ × 5227¹

Step-3: Factors of 78390

List of positive integer factors of 78390 that divides 78390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 67, 78, 90, 117, 130, 134, 195, 201, 234, 335, 390, 402, 585, 603, 670, 871, 1005, 1170, 1206, 1742, 2010, 2613, 3015, 4355, 5226, 6030, 7839, 8710, 13065, 15678, 26130, 39195

Step-4: Factors of 78405

List of positive integer factors of 78405 that divides 78390 without a remainder.

1, 3, 5, 15, 5227, 15681, 26135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78390 and 78405. The biggest common factor number is the GCF number.
So the greatest common factor 78390 and 78405 is 15.

Also check out the Least Common Multiple of 78390 and 78405