What is the Greatest Common Factor of 26864 and 26869?

Greatest common factor (GCF) of 26864 and 26869 is 1.

GCF(26864,26869) = 1

We will now calculate the prime factors of 26864 and 26869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26864 and 26869.

How to find the GCF of 26864 and 26869?

We will first find the prime factorization of 26864 and 26869. After we will calculate the factors of 26864 and 26869 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26869

Prime factors of 26869 are 97, 277. Prime factorization of 26869 in exponential form is:

26869 = 97¹ × 277¹

Step-3: Factors of 26864

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

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

Step-4: Factors of 26869

List of positive integer factors of 26869 that divides 26864 without a remainder.

1, 97, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26864 and 26869. The biggest common factor number is the GCF number.
So the greatest common factor 26864 and 26869 is 1.

Also check out the Least Common Multiple of 26864 and 26869