What is the Greatest Common Factor of 26305 and 26320?

Greatest common factor (GCF) of 26305 and 26320 is 5.

GCF(26305,26320) = 5

We will now calculate the prime factors of 26305 and 26320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26305 and 26320.

How to find the GCF of 26305 and 26320?

We will first find the prime factorization of 26305 and 26320. After we will calculate the factors of 26305 and 26320 and find the biggest common factor number .

Step-1: Prime Factorization of 26305

Prime factors of 26305 are 5, 5261. Prime factorization of 26305 in exponential form is:

26305 = 5¹ × 5261¹

Step-2: Prime Factorization of 26320

Prime factors of 26320 are 2, 5, 7, 47. Prime factorization of 26320 in exponential form is:

26320 = 2⁴ × 5¹ × 7¹ × 47¹

Step-3: Factors of 26305

List of positive integer factors of 26305 that divides 26305 without a remainder.

1, 5, 5261

Step-4: Factors of 26320

List of positive integer factors of 26320 that divides 26305 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26305 and 26320. The biggest common factor number is the GCF number.
So the greatest common factor 26305 and 26320 is 5.

Also check out the Least Common Multiple of 26305 and 26320