What is the Greatest Common Factor of 41782 and 41800?

Greatest common factor (GCF) of 41782 and 41800 is 2.

GCF(41782,41800) = 2

We will now calculate the prime factors of 41782 and 41800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41782 and 41800.

How to find the GCF of 41782 and 41800?

We will first find the prime factorization of 41782 and 41800. After we will calculate the factors of 41782 and 41800 and find the biggest common factor number .

Step-1: Prime Factorization of 41782

Prime factors of 41782 are 2, 13, 1607. Prime factorization of 41782 in exponential form is:

41782 = 2¹ × 13¹ × 1607¹

Step-2: Prime Factorization of 41800

Prime factors of 41800 are 2, 5, 11, 19. Prime factorization of 41800 in exponential form is:

41800 = 2³ × 5² × 11¹ × 19¹

Step-3: Factors of 41782

List of positive integer factors of 41782 that divides 41782 without a remainder.

1, 2, 13, 26, 1607, 3214, 20891

Step-4: Factors of 41800

List of positive integer factors of 41800 that divides 41782 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 25, 38, 40, 44, 50, 55, 76, 88, 95, 100, 110, 152, 190, 200, 209, 220, 275, 380, 418, 440, 475, 550, 760, 836, 950, 1045, 1100, 1672, 1900, 2090, 2200, 3800, 4180, 5225, 8360, 10450, 20900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41782 and 41800. The biggest common factor number is the GCF number.
So the greatest common factor 41782 and 41800 is 2.

Also check out the Least Common Multiple of 41782 and 41800