What is the Greatest Common Factor of 48830 and 48849?

Greatest common factor (GCF) of 48830 and 48849 is 19.

GCF(48830,48849) = 19

We will now calculate the prime factors of 48830 and 48849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48830 and 48849.

How to find the GCF of 48830 and 48849?

We will first find the prime factorization of 48830 and 48849. After we will calculate the factors of 48830 and 48849 and find the biggest common factor number .

Step-1: Prime Factorization of 48830

Prime factors of 48830 are 2, 5, 19, 257. Prime factorization of 48830 in exponential form is:

48830 = 2¹ × 5¹ × 19¹ × 257¹

Step-2: Prime Factorization of 48849

Prime factors of 48849 are 3, 19, 857. Prime factorization of 48849 in exponential form is:

48849 = 3¹ × 19¹ × 857¹

Step-3: Factors of 48830

List of positive integer factors of 48830 that divides 48830 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 257, 514, 1285, 2570, 4883, 9766, 24415

Step-4: Factors of 48849

List of positive integer factors of 48849 that divides 48830 without a remainder.

1, 3, 19, 57, 857, 2571, 16283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48830 and 48849. The biggest common factor number is the GCF number.
So the greatest common factor 48830 and 48849 is 19.

Also check out the Least Common Multiple of 48830 and 48849