What is the Greatest Common Factor of 48850 and 48870?

Greatest common factor (GCF) of 48850 and 48870 is 10.

GCF(48850,48870) = 10

We will now calculate the prime factors of 48850 and 48870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48850 and 48870.

How to find the GCF of 48850 and 48870?

We will first find the prime factorization of 48850 and 48870. After we will calculate the factors of 48850 and 48870 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 48870

Prime factors of 48870 are 2, 3, 5, 181. Prime factorization of 48870 in exponential form is:

48870 = 2¹ × 3³ × 5¹ × 181¹

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 48870

List of positive integer factors of 48870 that divides 48850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 181, 270, 362, 543, 905, 1086, 1629, 1810, 2715, 3258, 4887, 5430, 8145, 9774, 16290, 24435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48850 and 48870. The biggest common factor number is the GCF number.
So the greatest common factor 48850 and 48870 is 10.

Also check out the Least Common Multiple of 48850 and 48870