What is the Greatest Common Factor of 26400 and 26412?

Greatest common factor (GCF) of 26400 and 26412 is 12.

GCF(26400,26412) = 12

We will now calculate the prime factors of 26400 and 26412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26400 and 26412.

How to find the GCF of 26400 and 26412?

We will first find the prime factorization of 26400 and 26412. After we will calculate the factors of 26400 and 26412 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 26412

Prime factors of 26412 are 2, 3, 31, 71. Prime factorization of 26412 in exponential form is:

26412 = 2² × 3¹ × 31¹ × 71¹

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 26412

List of positive integer factors of 26412 that divides 26400 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 71, 93, 124, 142, 186, 213, 284, 372, 426, 852, 2201, 4402, 6603, 8804, 13206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26400 and 26412. The biggest common factor number is the GCF number.
So the greatest common factor 26400 and 26412 is 12.

Also check out the Least Common Multiple of 26400 and 26412