What is the Greatest Common Factor of 26366 and 26384?

Greatest common factor (GCF) of 26366 and 26384 is 2.

GCF(26366,26384) = 2

We will now calculate the prime factors of 26366 and 26384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26366 and 26384.

How to find the GCF of 26366 and 26384?

We will first find the prime factorization of 26366 and 26384. After we will calculate the factors of 26366 and 26384 and find the biggest common factor number .

Step-1: Prime Factorization of 26366

Prime factors of 26366 are 2, 13183. Prime factorization of 26366 in exponential form is:

26366 = 2¹ × 13183¹

Step-2: Prime Factorization of 26384

Prime factors of 26384 are 2, 17, 97. Prime factorization of 26384 in exponential form is:

26384 = 2⁴ × 17¹ × 97¹

Step-3: Factors of 26366

List of positive integer factors of 26366 that divides 26366 without a remainder.

1, 2, 13183

Step-4: Factors of 26384

List of positive integer factors of 26384 that divides 26366 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 97, 136, 194, 272, 388, 776, 1552, 1649, 3298, 6596, 13192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26366 and 26384. The biggest common factor number is the GCF number.
So the greatest common factor 26366 and 26384 is 2.

Also check out the Least Common Multiple of 26366 and 26384