What is the Greatest Common Factor of 48735 and 48739?

Greatest common factor (GCF) of 48735 and 48739 is 1.

GCF(48735,48739) = 1

We will now calculate the prime factors of 48735 and 48739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48735 and 48739.

How to find the GCF of 48735 and 48739?

We will first find the prime factorization of 48735 and 48739. After we will calculate the factors of 48735 and 48739 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 48739

Prime factors of 48739 are 17, 47, 61. Prime factorization of 48739 in exponential form is:

48739 = 17¹ × 47¹ × 61¹

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 48739

List of positive integer factors of 48739 that divides 48735 without a remainder.

1, 17, 47, 61, 799, 1037, 2867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48735 and 48739. The biggest common factor number is the GCF number.
So the greatest common factor 48735 and 48739 is 1.

Also check out the Least Common Multiple of 48735 and 48739