What is the Greatest Common Factor of 48864 and 48870?

Greatest common factor (GCF) of 48864 and 48870 is 6.

GCF(48864,48870) = 6

We will now calculate the prime factors of 48864 and 48870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48864 and 48870.

How to find the GCF of 48864 and 48870?

We will first find the prime factorization of 48864 and 48870. After we will calculate the factors of 48864 and 48870 and find the biggest common factor number .

Step-1: Prime Factorization of 48864

Prime factors of 48864 are 2, 3, 509. Prime factorization of 48864 in exponential form is:

48864 = 2⁵ × 3¹ × 509¹

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 48864

List of positive integer factors of 48864 that divides 48864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432

Step-4: Factors of 48870

List of positive integer factors of 48870 that divides 48864 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 48864 and 48870. The biggest common factor number is the GCF number.
So the greatest common factor 48864 and 48870 is 6.

Also check out the Least Common Multiple of 48864 and 48870