What is the Greatest Common Factor of 48735 and 48740?

Greatest common factor (GCF) of 48735 and 48740 is 5.

GCF(48735,48740) = 5

We will now calculate the prime factors of 48735 and 48740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48735 and 48740.

How to find the GCF of 48735 and 48740?

We will first find the prime factorization of 48735 and 48740. After we will calculate the factors of 48735 and 48740 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 48740

Prime factors of 48740 are 2, 5, 2437. Prime factorization of 48740 in exponential form is:

48740 = 2² × 5¹ × 2437¹

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 48740

List of positive integer factors of 48740 that divides 48735 without a remainder.

1, 2, 4, 5, 10, 20, 2437, 4874, 9748, 12185, 24370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48735 and 48740. The biggest common factor number is the GCF number.
So the greatest common factor 48735 and 48740 is 5.

Also check out the Least Common Multiple of 48735 and 48740