What is the Greatest Common Factor of 48735 and 48743?

Greatest common factor (GCF) of 48735 and 48743 is 1.

GCF(48735,48743) = 1

We will now calculate the prime factors of 48735 and 48743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48735 and 48743.

How to find the GCF of 48735 and 48743?

We will first find the prime factorization of 48735 and 48743. After we will calculate the factors of 48735 and 48743 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 48743

Prime factors of 48743 are 79, 617. Prime factorization of 48743 in exponential form is:

48743 = 79¹ × 617¹

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 48743

List of positive integer factors of 48743 that divides 48735 without a remainder.

1, 79, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48735 and 48743. The biggest common factor number is the GCF number.
So the greatest common factor 48735 and 48743 is 1.

Also check out the Least Common Multiple of 48735 and 48743