What is the Greatest Common Factor of 26864 and 26878?

Greatest common factor (GCF) of 26864 and 26878 is 2.

GCF(26864,26878) = 2

We will now calculate the prime factors of 26864 and 26878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26864 and 26878.

How to find the GCF of 26864 and 26878?

We will first find the prime factorization of 26864 and 26878. After we will calculate the factors of 26864 and 26878 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 26878

Prime factors of 26878 are 2, 89, 151. Prime factorization of 26878 in exponential form is:

26878 = 2¹ × 89¹ × 151¹

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 26878

List of positive integer factors of 26878 that divides 26864 without a remainder.

1, 2, 89, 151, 178, 302, 13439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26864 and 26878. The biggest common factor number is the GCF number.
So the greatest common factor 26864 and 26878 is 2.

Also check out the Least Common Multiple of 26864 and 26878