What is the Greatest Common Factor of 26300 and 26318?

Greatest common factor (GCF) of 26300 and 26318 is 2.

GCF(26300,26318) = 2

We will now calculate the prime factors of 26300 and 26318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26300 and 26318.

How to find the GCF of 26300 and 26318?

We will first find the prime factorization of 26300 and 26318. After we will calculate the factors of 26300 and 26318 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 26318

Prime factors of 26318 are 2, 13159. Prime factorization of 26318 in exponential form is:

26318 = 2¹ × 13159¹

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 26318

List of positive integer factors of 26318 that divides 26300 without a remainder.

1, 2, 13159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26300 and 26318. The biggest common factor number is the GCF number.
So the greatest common factor 26300 and 26318 is 2.

Also check out the Least Common Multiple of 26300 and 26318