What is the Greatest Common Factor of 48830 and 48835?

Greatest common factor (GCF) of 48830 and 48835 is 5.

GCF(48830,48835) = 5

We will now calculate the prime factors of 48830 and 48835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48830 and 48835.

How to find the GCF of 48830 and 48835?

We will first find the prime factorization of 48830 and 48835. After we will calculate the factors of 48830 and 48835 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 48835

Prime factors of 48835 are 5, 9767. Prime factorization of 48835 in exponential form is:

48835 = 5¹ × 9767¹

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 48835

List of positive integer factors of 48835 that divides 48830 without a remainder.

1, 5, 9767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48830 and 48835. The biggest common factor number is the GCF number.
So the greatest common factor 48830 and 48835 is 5.

Also check out the Least Common Multiple of 48830 and 48835