What is the Greatest Common Factor of 26359 and 26368?

Greatest common factor (GCF) of 26359 and 26368 is 1.

GCF(26359,26368) = 1

We will now calculate the prime factors of 26359 and 26368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26359 and 26368.

How to find the GCF of 26359 and 26368?

We will first find the prime factorization of 26359 and 26368. After we will calculate the factors of 26359 and 26368 and find the biggest common factor number .

Step-1: Prime Factorization of 26359

Prime factors of 26359 are 43, 613. Prime factorization of 26359 in exponential form is:

26359 = 43¹ × 613¹

Step-2: Prime Factorization of 26368

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

26368 = 2⁸ × 103¹

Step-3: Factors of 26359

List of positive integer factors of 26359 that divides 26359 without a remainder.

1, 43, 613

Step-4: Factors of 26368

List of positive integer factors of 26368 that divides 26359 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26359 and 26368. The biggest common factor number is the GCF number.
So the greatest common factor 26359 and 26368 is 1.

Also check out the Least Common Multiple of 26359 and 26368