What is the Greatest Common Factor of 26848 and 26864?

Greatest common factor (GCF) of 26848 and 26864 is 16.

GCF(26848,26864) = 16

We will now calculate the prime factors of 26848 and 26864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26848 and 26864.

How to find the GCF of 26848 and 26864?

We will first find the prime factorization of 26848 and 26864. After we will calculate the factors of 26848 and 26864 and find the biggest common factor number .

Step-1: Prime Factorization of 26848

Prime factors of 26848 are 2, 839. Prime factorization of 26848 in exponential form is:

26848 = 2⁵ × 839¹

Step-2: Prime Factorization of 26864

Prime factors of 26864 are 2, 23, 73. Prime factorization of 26864 in exponential form is:

26864 = 2⁴ × 23¹ × 73¹

Step-3: Factors of 26848

List of positive integer factors of 26848 that divides 26848 without a remainder.

1, 2, 4, 8, 16, 32, 839, 1678, 3356, 6712, 13424

Step-4: Factors of 26864

List of positive integer factors of 26864 that divides 26848 without a remainder.

1, 2, 4, 8, 16, 23, 46, 73, 92, 146, 184, 292, 368, 584, 1168, 1679, 3358, 6716, 13432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26848 and 26864. The biggest common factor number is the GCF number.
So the greatest common factor 26848 and 26864 is 16.

Also check out the Least Common Multiple of 26848 and 26864