What is the Greatest Common Factor of 48849 and 48864?

Greatest common factor (GCF) of 48849 and 48864 is 3.

GCF(48849,48864) = 3

We will now calculate the prime factors of 48849 and 48864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48849 and 48864.

How to find the GCF of 48849 and 48864?

We will first find the prime factorization of 48849 and 48864. After we will calculate the factors of 48849 and 48864 and find the biggest common factor number .

Step-1: Prime Factorization of 48849

Prime factors of 48849 are 3, 19, 857. Prime factorization of 48849 in exponential form is:

48849 = 3¹ × 19¹ × 857¹

Step-2: 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-3: Factors of 48849

List of positive integer factors of 48849 that divides 48849 without a remainder.

1, 3, 19, 57, 857, 2571, 16283

Step-4: Factors of 48864

List of positive integer factors of 48864 that divides 48849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48849 and 48864. The biggest common factor number is the GCF number.
So the greatest common factor 48849 and 48864 is 3.

Also check out the Least Common Multiple of 48849 and 48864