What is the Greatest Common Factor of 40800 and 40813?

Greatest common factor (GCF) of 40800 and 40813 is 1.

GCF(40800,40813) = 1

We will now calculate the prime factors of 40800 and 40813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40800 and 40813.

How to find the GCF of 40800 and 40813?

We will first find the prime factorization of 40800 and 40813. After we will calculate the factors of 40800 and 40813 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 40813

Prime factors of 40813 are 40813. Prime factorization of 40813 in exponential form is:

40813 = 40813¹

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 40813

List of positive integer factors of 40813 that divides 40800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40800 and 40813. The biggest common factor number is the GCF number.
So the greatest common factor 40800 and 40813 is 1.

Also check out the Least Common Multiple of 40800 and 40813