What is the Greatest Common Factor of 26336 and 26342?

Greatest common factor (GCF) of 26336 and 26342 is 2.

GCF(26336,26342) = 2

We will now calculate the prime factors of 26336 and 26342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26336 and 26342.

How to find the GCF of 26336 and 26342?

We will first find the prime factorization of 26336 and 26342. After we will calculate the factors of 26336 and 26342 and find the biggest common factor number .

Step-1: Prime Factorization of 26336

Prime factors of 26336 are 2, 823. Prime factorization of 26336 in exponential form is:

26336 = 2⁵ × 823¹

Step-2: Prime Factorization of 26342

Prime factors of 26342 are 2, 13171. Prime factorization of 26342 in exponential form is:

26342 = 2¹ × 13171¹

Step-3: Factors of 26336

List of positive integer factors of 26336 that divides 26336 without a remainder.

1, 2, 4, 8, 16, 32, 823, 1646, 3292, 6584, 13168

Step-4: Factors of 26342

List of positive integer factors of 26342 that divides 26336 without a remainder.

1, 2, 13171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26336 and 26342. The biggest common factor number is the GCF number.
So the greatest common factor 26336 and 26342 is 2.

Also check out the Least Common Multiple of 26336 and 26342