What is the Greatest Common Factor of 48360 and 48375?

Greatest common factor (GCF) of 48360 and 48375 is 15.

GCF(48360,48375) = 15

We will now calculate the prime factors of 48360 and 48375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48360 and 48375.

How to find the GCF of 48360 and 48375?

We will first find the prime factorization of 48360 and 48375. After we will calculate the factors of 48360 and 48375 and find the biggest common factor number .

Step-1: Prime Factorization of 48360

Prime factors of 48360 are 2, 3, 5, 13, 31. Prime factorization of 48360 in exponential form is:

48360 = 2³ × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 48375

Prime factors of 48375 are 3, 5, 43. Prime factorization of 48375 in exponential form is:

48375 = 3² × 5³ × 43¹

Step-3: Factors of 48360

List of positive integer factors of 48360 that divides 48360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 31, 39, 40, 52, 60, 62, 65, 78, 93, 104, 120, 124, 130, 155, 156, 186, 195, 248, 260, 310, 312, 372, 390, 403, 465, 520, 620, 744, 780, 806, 930, 1209, 1240, 1560, 1612, 1860, 2015, 2418, 3224, 3720, 4030, 4836, 6045, 8060, 9672, 12090, 16120, 24180

Step-4: Factors of 48375

List of positive integer factors of 48375 that divides 48360 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 125, 129, 215, 225, 375, 387, 645, 1075, 1125, 1935, 3225, 5375, 9675, 16125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48360 and 48375. The biggest common factor number is the GCF number.
So the greatest common factor 48360 and 48375 is 15.

Also check out the Least Common Multiple of 48360 and 48375