What is the Greatest Common Factor of 48850 and 48862?

Greatest common factor (GCF) of 48850 and 48862 is 2.

GCF(48850,48862) = 2

We will now calculate the prime factors of 48850 and 48862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48850 and 48862.

How to find the GCF of 48850 and 48862?

We will first find the prime factorization of 48850 and 48862. After we will calculate the factors of 48850 and 48862 and find the biggest common factor number .

Step-1: Prime Factorization of 48850

Prime factors of 48850 are 2, 5, 977. Prime factorization of 48850 in exponential form is:

48850 = 2¹ × 5² × 977¹

Step-2: Prime Factorization of 48862

Prime factors of 48862 are 2, 11, 2221. Prime factorization of 48862 in exponential form is:

48862 = 2¹ × 11¹ × 2221¹

Step-3: Factors of 48850

List of positive integer factors of 48850 that divides 48850 without a remainder.

1, 2, 5, 10, 25, 50, 977, 1954, 4885, 9770, 24425

Step-4: Factors of 48862

List of positive integer factors of 48862 that divides 48850 without a remainder.

1, 2, 11, 22, 2221, 4442, 24431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48850 and 48862. The biggest common factor number is the GCF number.
So the greatest common factor 48850 and 48862 is 2.

Also check out the Least Common Multiple of 48850 and 48862