What is the Greatest Common Factor of 26 and 8?

Greatest common factor (GCF) of 26 and 8 is 2.

GCF(26,8) = 2

We will now calculate the prime factors of 26 and 8, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26 and 8.

How to find the GCF of 26 and 8?

We will first find the prime factorization of 26 and 8. After we will calculate the factors of 26 and 8 and find the biggest common factor number .

Step-1: Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of 26 in exponential form is:

26 = 2¹ × 13¹

Step-2: Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 2³

Step-3: Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13

Step-4: Factors of 8

List of positive integer factors of 8 that divides 26 without a remainder.

1, 2, 4

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26 and 8. The biggest common factor number is the GCF number.
So the greatest common factor 26 and 8 is 2.

Also check out the Least Common Multiple of 26 and 8