What is the Greatest Common Factor of 26368 and 26386?

Greatest common factor (GCF) of 26368 and 26386 is 2.

GCF(26368,26386) = 2

We will now calculate the prime factors of 26368 and 26386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26368 and 26386.

How to find the GCF of 26368 and 26386?

We will first find the prime factorization of 26368 and 26386. After we will calculate the factors of 26368 and 26386 and find the biggest common factor number .

Step-1: Prime Factorization of 26368

Prime factors of 26368 are 2, 103. Prime factorization of 26368 in exponential form is:

26368 = 2⁸ × 103¹

Step-2: Prime Factorization of 26386

Prime factors of 26386 are 2, 79, 167. Prime factorization of 26386 in exponential form is:

26386 = 2¹ × 79¹ × 167¹

Step-3: Factors of 26368

List of positive integer factors of 26368 that divides 26368 without a remainder.

1, 2, 4, 8, 16, 32, 64, 103, 128, 206, 256, 412, 824, 1648, 3296, 6592, 13184

Step-4: Factors of 26386

List of positive integer factors of 26386 that divides 26368 without a remainder.

1, 2, 79, 158, 167, 334, 13193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26368 and 26386. The biggest common factor number is the GCF number.
So the greatest common factor 26368 and 26386 is 2.

Also check out the Least Common Multiple of 26368 and 26386