What is the Greatest Common Factor of 40834 and 40850?

Greatest common factor (GCF) of 40834 and 40850 is 2.

GCF(40834,40850) = 2

We will now calculate the prime factors of 40834 and 40850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40834 and 40850.

How to find the GCF of 40834 and 40850?

We will first find the prime factorization of 40834 and 40850. After we will calculate the factors of 40834 and 40850 and find the biggest common factor number .

Step-1: Prime Factorization of 40834

Prime factors of 40834 are 2, 17, 1201. Prime factorization of 40834 in exponential form is:

40834 = 2¹ × 17¹ × 1201¹

Step-2: Prime Factorization of 40850

Prime factors of 40850 are 2, 5, 19, 43. Prime factorization of 40850 in exponential form is:

40850 = 2¹ × 5² × 19¹ × 43¹

Step-3: Factors of 40834

List of positive integer factors of 40834 that divides 40834 without a remainder.

1, 2, 17, 34, 1201, 2402, 20417

Step-4: Factors of 40850

List of positive integer factors of 40850 that divides 40834 without a remainder.

1, 2, 5, 10, 19, 25, 38, 43, 50, 86, 95, 190, 215, 430, 475, 817, 950, 1075, 1634, 2150, 4085, 8170, 20425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40834 and 40850. The biggest common factor number is the GCF number.
So the greatest common factor 40834 and 40850 is 2.

Also check out the Least Common Multiple of 40834 and 40850