What is the Greatest Common Factor of 72360 and 72375?

Greatest common factor (GCF) of 72360 and 72375 is 15.

GCF(72360,72375) = 15

We will now calculate the prime factors of 72360 and 72375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72360 and 72375.

How to find the GCF of 72360 and 72375?

We will first find the prime factorization of 72360 and 72375. After we will calculate the factors of 72360 and 72375 and find the biggest common factor number .

Step-1: Prime Factorization of 72360

Prime factors of 72360 are 2, 3, 5, 67. Prime factorization of 72360 in exponential form is:

72360 = 2³ × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 72375

Prime factors of 72375 are 3, 5, 193. Prime factorization of 72375 in exponential form is:

72375 = 3¹ × 5³ × 193¹

Step-3: Factors of 72360

List of positive integer factors of 72360 that divides 72360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 67, 72, 90, 108, 120, 134, 135, 180, 201, 216, 268, 270, 335, 360, 402, 536, 540, 603, 670, 804, 1005, 1080, 1206, 1340, 1608, 1809, 2010, 2412, 2680, 3015, 3618, 4020, 4824, 6030, 7236, 8040, 9045, 12060, 14472, 18090, 24120, 36180

Step-4: Factors of 72375

List of positive integer factors of 72375 that divides 72360 without a remainder.

1, 3, 5, 15, 25, 75, 125, 193, 375, 579, 965, 2895, 4825, 14475, 24125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72360 and 72375. The biggest common factor number is the GCF number.
So the greatest common factor 72360 and 72375 is 15.

Also check out the Least Common Multiple of 72360 and 72375