What is the Greatest Common Factor of 48830 and 48841?

Greatest common factor (GCF) of 48830 and 48841 is 1.

GCF(48830,48841) = 1

We will now calculate the prime factors of 48830 and 48841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48830 and 48841.

How to find the GCF of 48830 and 48841?

We will first find the prime factorization of 48830 and 48841. After we will calculate the factors of 48830 and 48841 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 48841

Prime factors of 48841 are 13, 17. Prime factorization of 48841 in exponential form is:

48841 = 13² × 17²

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 48841

List of positive integer factors of 48841 that divides 48830 without a remainder.

1, 13, 17, 169, 221, 289, 2873, 3757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48830 and 48841. The biggest common factor number is the GCF number.
So the greatest common factor 48830 and 48841 is 1.

Also check out the Least Common Multiple of 48830 and 48841