What is the Greatest Common Factor of 40800 and 40810?

Greatest common factor (GCF) of 40800 and 40810 is 10.

GCF(40800,40810) = 10

We will now calculate the prime factors of 40800 and 40810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40800 and 40810.

How to find the GCF of 40800 and 40810?

We will first find the prime factorization of 40800 and 40810. After we will calculate the factors of 40800 and 40810 and find the biggest common factor number .

Step-1: Prime Factorization of 40800

Prime factors of 40800 are 2, 3, 5, 17. Prime factorization of 40800 in exponential form is:

40800 = 2⁵ × 3¹ × 5² × 17¹

Step-2: Prime Factorization of 40810

Prime factors of 40810 are 2, 5, 7, 11, 53. Prime factorization of 40810 in exponential form is:

40810 = 2¹ × 5¹ × 7¹ × 11¹ × 53¹

Step-3: Factors of 40800

List of positive integer factors of 40800 that divides 40800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 32, 34, 40, 48, 50, 51, 60, 68, 75, 80, 85, 96, 100, 102, 120, 136, 150, 160, 170, 200, 204, 240, 255, 272, 300, 340, 400, 408, 425, 480, 510, 544, 600, 680, 800, 816, 850, 1020, 1200, 1275, 1360, 1632, 1700, 2040, 2400, 2550, 2720, 3400, 4080, 5100, 6800, 8160, 10200, 13600, 20400

Step-4: Factors of 40810

List of positive integer factors of 40810 that divides 40800 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 53, 55, 70, 77, 106, 110, 154, 265, 371, 385, 530, 583, 742, 770, 1166, 1855, 2915, 3710, 4081, 5830, 8162, 20405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40800 and 40810. The biggest common factor number is the GCF number.
So the greatest common factor 40800 and 40810 is 10.

Also check out the Least Common Multiple of 40800 and 40810