What is the Greatest Common Factor of 40782 and 40800?

Greatest common factor (GCF) of 40782 and 40800 is 6.

GCF(40782,40800) = 6

We will now calculate the prime factors of 40782 and 40800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40782 and 40800.

How to find the GCF of 40782 and 40800?

We will first find the prime factorization of 40782 and 40800. After we will calculate the factors of 40782 and 40800 and find the biggest common factor number .

Step-1: Prime Factorization of 40782

Prime factors of 40782 are 2, 3, 7, 971. Prime factorization of 40782 in exponential form is:

40782 = 2¹ × 3¹ × 7¹ × 971¹

Step-2: 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-3: Factors of 40782

List of positive integer factors of 40782 that divides 40782 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 971, 1942, 2913, 5826, 6797, 13594, 20391

Step-4: Factors of 40800

List of positive integer factors of 40800 that divides 40782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40782 and 40800. The biggest common factor number is the GCF number.
So the greatest common factor 40782 and 40800 is 6.

Also check out the Least Common Multiple of 40782 and 40800