What is the Greatest Common Factor of 26393 and 26400?

Greatest common factor (GCF) of 26393 and 26400 is 1.

GCF(26393,26400) = 1

We will now calculate the prime factors of 26393 and 26400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26393 and 26400.

How to find the GCF of 26393 and 26400?

We will first find the prime factorization of 26393 and 26400. After we will calculate the factors of 26393 and 26400 and find the biggest common factor number .

Step-1: Prime Factorization of 26393

Prime factors of 26393 are 26393. Prime factorization of 26393 in exponential form is:

26393 = 26393¹

Step-2: Prime Factorization of 26400

Prime factors of 26400 are 2, 3, 5, 11. Prime factorization of 26400 in exponential form is:

26400 = 2⁵ × 3¹ × 5² × 11¹

Step-3: Factors of 26393

List of positive integer factors of 26393 that divides 26393 without a remainder.

Step-4: Factors of 26400

List of positive integer factors of 26400 that divides 26393 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 32, 33, 40, 44, 48, 50, 55, 60, 66, 75, 80, 88, 96, 100, 110, 120, 132, 150, 160, 165, 176, 200, 220, 240, 264, 275, 300, 330, 352, 400, 440, 480, 528, 550, 600, 660, 800, 825, 880, 1056, 1100, 1200, 1320, 1650, 1760, 2200, 2400, 2640, 3300, 4400, 5280, 6600, 8800, 13200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26393 and 26400. The biggest common factor number is the GCF number.
So the greatest common factor 26393 and 26400 is 1.

Also check out the Least Common Multiple of 26393 and 26400