What is the Greatest Common Factor of 26400 and 26417?

Greatest common factor (GCF) of 26400 and 26417 is 1.

GCF(26400,26417) = 1

We will now calculate the prime factors of 26400 and 26417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26400 and 26417.

How to find the GCF of 26400 and 26417?

We will first find the prime factorization of 26400 and 26417. After we will calculate the factors of 26400 and 26417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26417

Prime factors of 26417 are 26417. Prime factorization of 26417 in exponential form is:

26417 = 26417¹

Step-3: Factors of 26400

List of positive integer factors of 26400 that divides 26400 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

Step-4: Factors of 26417

List of positive integer factors of 26417 that divides 26400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26400 and 26417. The biggest common factor number is the GCF number.
So the greatest common factor 26400 and 26417 is 1.

Also check out the Least Common Multiple of 26400 and 26417