What is the Greatest Common Factor of 48735 and 48750?

Greatest common factor (GCF) of 48735 and 48750 is 15.

GCF(48735,48750) = 15

We will now calculate the prime factors of 48735 and 48750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48735 and 48750.

How to find the GCF of 48735 and 48750?

We will first find the prime factorization of 48735 and 48750. After we will calculate the factors of 48735 and 48750 and find the biggest common factor number .

Step-1: Prime Factorization of 48735

Prime factors of 48735 are 3, 5, 19. Prime factorization of 48735 in exponential form is:

48735 = 3³ × 5¹ × 19²

Step-2: Prime Factorization of 48750

Prime factors of 48750 are 2, 3, 5, 13. Prime factorization of 48750 in exponential form is:

48750 = 2¹ × 3¹ × 5⁴ × 13¹

Step-3: Factors of 48735

List of positive integer factors of 48735 that divides 48735 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 361, 513, 855, 1083, 1805, 2565, 3249, 5415, 9747, 16245

Step-4: Factors of 48750

List of positive integer factors of 48750 that divides 48735 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 625, 650, 750, 975, 1250, 1625, 1875, 1950, 3250, 3750, 4875, 8125, 9750, 16250, 24375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48735 and 48750. The biggest common factor number is the GCF number.
So the greatest common factor 48735 and 48750 is 15.

Also check out the Least Common Multiple of 48735 and 48750