What is the Greatest Common Factor of 26289 and 26300?

Greatest common factor (GCF) of 26289 and 26300 is 1.

GCF(26289,26300) = 1

We will now calculate the prime factors of 26289 and 26300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26289 and 26300.

How to find the GCF of 26289 and 26300?

We will first find the prime factorization of 26289 and 26300. After we will calculate the factors of 26289 and 26300 and find the biggest common factor number .

Step-1: Prime Factorization of 26289

Prime factors of 26289 are 3, 23, 127. Prime factorization of 26289 in exponential form is:

26289 = 3² × 23¹ × 127¹

Step-2: 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-3: Factors of 26289

List of positive integer factors of 26289 that divides 26289 without a remainder.

1, 3, 9, 23, 69, 127, 207, 381, 1143, 2921, 8763

Step-4: Factors of 26300

List of positive integer factors of 26300 that divides 26289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26289 and 26300. The biggest common factor number is the GCF number.
So the greatest common factor 26289 and 26300 is 1.

Also check out the Least Common Multiple of 26289 and 26300