What is the Greatest Common Factor of 48864 and 48881?

Greatest common factor (GCF) of 48864 and 48881 is 1.

GCF(48864,48881) = 1

We will now calculate the prime factors of 48864 and 48881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48864 and 48881.

How to find the GCF of 48864 and 48881?

We will first find the prime factorization of 48864 and 48881. After we will calculate the factors of 48864 and 48881 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 48881

Prime factors of 48881 are 7, 6983. Prime factorization of 48881 in exponential form is:

48881 = 7¹ × 6983¹

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 48881

List of positive integer factors of 48881 that divides 48864 without a remainder.

1, 7, 6983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48864 and 48881. The biggest common factor number is the GCF number.
So the greatest common factor 48864 and 48881 is 1.

Also check out the Least Common Multiple of 48864 and 48881