What is the Greatest Common Factor of 26400 and 26410?

Greatest common factor (GCF) of 26400 and 26410 is 10.

GCF(26400,26410) = 10

We will now calculate the prime factors of 26400 and 26410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26400 and 26410.

How to find the GCF of 26400 and 26410?

We will first find the prime factorization of 26400 and 26410. After we will calculate the factors of 26400 and 26410 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 26410

Prime factors of 26410 are 2, 5, 19, 139. Prime factorization of 26410 in exponential form is:

26410 = 2¹ × 5¹ × 19¹ × 139¹

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 26410

List of positive integer factors of 26410 that divides 26400 without a remainder.

1, 2, 5, 10, 19, 38, 95, 139, 190, 278, 695, 1390, 2641, 5282, 13205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26400 and 26410. The biggest common factor number is the GCF number.
So the greatest common factor 26400 and 26410 is 10.

Also check out the Least Common Multiple of 26400 and 26410