What is the Greatest Common Factor of 40800 and 40817?

Greatest common factor (GCF) of 40800 and 40817 is 17.

GCF(40800,40817) = 17

We will now calculate the prime factors of 40800 and 40817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40800 and 40817.

How to find the GCF of 40800 and 40817?

We will first find the prime factorization of 40800 and 40817. After we will calculate the factors of 40800 and 40817 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 40817

Prime factors of 40817 are 7, 17. Prime factorization of 40817 in exponential form is:

40817 = 7⁴ × 17¹

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 40817

List of positive integer factors of 40817 that divides 40800 without a remainder.

1, 7, 17, 49, 119, 343, 833, 2401, 5831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40800 and 40817. The biggest common factor number is the GCF number.
So the greatest common factor 40800 and 40817 is 17.

Also check out the Least Common Multiple of 40800 and 40817