What is the Greatest Common Factor of 48830 and 48843?

Greatest common factor (GCF) of 48830 and 48843 is 1.

GCF(48830,48843) = 1

We will now calculate the prime factors of 48830 and 48843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48830 and 48843.

How to find the GCF of 48830 and 48843?

We will first find the prime factorization of 48830 and 48843. After we will calculate the factors of 48830 and 48843 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 48843

Prime factors of 48843 are 3, 67. Prime factorization of 48843 in exponential form is:

48843 = 3⁶ × 67¹

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 48843

List of positive integer factors of 48843 that divides 48830 without a remainder.

1, 3, 9, 27, 67, 81, 201, 243, 603, 729, 1809, 5427, 16281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48830 and 48843. The biggest common factor number is the GCF number.
So the greatest common factor 48830 and 48843 is 1.

Also check out the Least Common Multiple of 48830 and 48843