What is the Greatest Common Factor of 26400 and 26416?

Greatest common factor (GCF) of 26400 and 26416 is 16.

GCF(26400,26416) = 16

We will now calculate the prime factors of 26400 and 26416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26400 and 26416.

How to find the GCF of 26400 and 26416?

We will first find the prime factorization of 26400 and 26416. After we will calculate the factors of 26400 and 26416 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 26416

Prime factors of 26416 are 2, 13, 127. Prime factorization of 26416 in exponential form is:

26416 = 2⁴ × 13¹ × 127¹

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 26416

List of positive integer factors of 26416 that divides 26400 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 127, 208, 254, 508, 1016, 1651, 2032, 3302, 6604, 13208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26400 and 26416. The biggest common factor number is the GCF number.
So the greatest common factor 26400 and 26416 is 16.

Also check out the Least Common Multiple of 26400 and 26416