What is the Greatest Common Factor of 26300 and 26305?

Greatest common factor (GCF) of 26300 and 26305 is 5.

GCF(26300,26305) = 5

We will now calculate the prime factors of 26300 and 26305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26300 and 26305.

How to find the GCF of 26300 and 26305?

We will first find the prime factorization of 26300 and 26305. After we will calculate the factors of 26300 and 26305 and find the biggest common factor number .

Step-1: Prime Factorization of 26300

Prime factors of 26300 are 2, 5, 263. Prime factorization of 26300 in exponential form is:

26300 = 2² × 5² × 263¹

Step-2: Prime Factorization of 26305

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

26305 = 5¹ × 5261¹

Step-3: Factors of 26300

List of positive integer factors of 26300 that divides 26300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150

Step-4: Factors of 26305

List of positive integer factors of 26305 that divides 26300 without a remainder.

1, 5, 5261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26300 and 26305. The biggest common factor number is the GCF number.
So the greatest common factor 26300 and 26305 is 5.

Also check out the Least Common Multiple of 26300 and 26305