What is the Greatest Common Factor of 78375 and 78390?

Greatest common factor (GCF) of 78375 and 78390 is 15.

GCF(78375,78390) = 15

We will now calculate the prime factors of 78375 and 78390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78375 and 78390.

How to find the GCF of 78375 and 78390?

We will first find the prime factorization of 78375 and 78390. After we will calculate the factors of 78375 and 78390 and find the biggest common factor number .

Step-1: Prime Factorization of 78375

Prime factors of 78375 are 3, 5, 11, 19. Prime factorization of 78375 in exponential form is:

78375 = 3¹ × 5³ × 11¹ × 19¹

Step-2: 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-3: Factors of 78375

List of positive integer factors of 78375 that divides 78375 without a remainder.

1, 3, 5, 11, 15, 19, 25, 33, 55, 57, 75, 95, 125, 165, 209, 275, 285, 375, 475, 627, 825, 1045, 1375, 1425, 2375, 3135, 4125, 5225, 7125, 15675, 26125

Step-4: Factors of 78390

List of positive integer factors of 78390 that divides 78375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78375 and 78390. The biggest common factor number is the GCF number.
So the greatest common factor 78375 and 78390 is 15.

Also check out the Least Common Multiple of 78375 and 78390