What is the Greatest Common Factor of 78360 and 78375?

Greatest common factor (GCF) of 78360 and 78375 is 15.

GCF(78360,78375) = 15

We will now calculate the prime factors of 78360 and 78375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78360 and 78375.

How to find the GCF of 78360 and 78375?

We will first find the prime factorization of 78360 and 78375. After we will calculate the factors of 78360 and 78375 and find the biggest common factor number .

Step-1: Prime Factorization of 78360

Prime factors of 78360 are 2, 3, 5, 653. Prime factorization of 78360 in exponential form is:

78360 = 2³ × 3¹ × 5¹ × 653¹

Step-2: 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-3: Factors of 78360

List of positive integer factors of 78360 that divides 78360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 653, 1306, 1959, 2612, 3265, 3918, 5224, 6530, 7836, 9795, 13060, 15672, 19590, 26120, 39180

Step-4: Factors of 78375

List of positive integer factors of 78375 that divides 78360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78360 and 78375. The biggest common factor number is the GCF number.
So the greatest common factor 78360 and 78375 is 15.

Also check out the Least Common Multiple of 78360 and 78375