What is the Greatest Common Factor of 48830 and 48844?

Greatest common factor (GCF) of 48830 and 48844 is 2.

GCF(48830,48844) = 2

We will now calculate the prime factors of 48830 and 48844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48830 and 48844.

How to find the GCF of 48830 and 48844?

We will first find the prime factorization of 48830 and 48844. After we will calculate the factors of 48830 and 48844 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 48844

Prime factors of 48844 are 2, 12211. Prime factorization of 48844 in exponential form is:

48844 = 2² × 12211¹

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 48844

List of positive integer factors of 48844 that divides 48830 without a remainder.

1, 2, 4, 12211, 24422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48830 and 48844. The biggest common factor number is the GCF number.
So the greatest common factor 48830 and 48844 is 2.

Also check out the Least Common Multiple of 48830 and 48844