What is the Greatest Common Factor of 40830 and 40850?

Greatest common factor (GCF) of 40830 and 40850 is 10.

GCF(40830,40850) = 10

We will now calculate the prime factors of 40830 and 40850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40830 and 40850.

How to find the GCF of 40830 and 40850?

We will first find the prime factorization of 40830 and 40850. After we will calculate the factors of 40830 and 40850 and find the biggest common factor number .

Step-1: Prime Factorization of 40830

Prime factors of 40830 are 2, 3, 5, 1361. Prime factorization of 40830 in exponential form is:

40830 = 2¹ × 3¹ × 5¹ × 1361¹

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 40830

List of positive integer factors of 40830 that divides 40830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1361, 2722, 4083, 6805, 8166, 13610, 20415

Step-4: Factors of 40850

List of positive integer factors of 40850 that divides 40830 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 40830 and 40850. The biggest common factor number is the GCF number.
So the greatest common factor 40830 and 40850 is 10.

Also check out the Least Common Multiple of 40830 and 40850