What is the Greatest Common Factor of 48238 and 48250?

Greatest common factor (GCF) of 48238 and 48250 is 2.

GCF(48238,48250) = 2

We will now calculate the prime factors of 48238 and 48250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48238 and 48250.

How to find the GCF of 48238 and 48250?

We will first find the prime factorization of 48238 and 48250. After we will calculate the factors of 48238 and 48250 and find the biggest common factor number .

Step-1: Prime Factorization of 48238

Prime factors of 48238 are 2, 89, 271. Prime factorization of 48238 in exponential form is:

48238 = 2¹ × 89¹ × 271¹

Step-2: Prime Factorization of 48250

Prime factors of 48250 are 2, 5, 193. Prime factorization of 48250 in exponential form is:

48250 = 2¹ × 5³ × 193¹

Step-3: Factors of 48238

List of positive integer factors of 48238 that divides 48238 without a remainder.

1, 2, 89, 178, 271, 542, 24119

Step-4: Factors of 48250

List of positive integer factors of 48250 that divides 48238 without a remainder.

1, 2, 5, 10, 25, 50, 125, 193, 250, 386, 965, 1930, 4825, 9650, 24125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48238 and 48250. The biggest common factor number is the GCF number.
So the greatest common factor 48238 and 48250 is 2.

Also check out the Least Common Multiple of 48238 and 48250