What is the Greatest Common Factor of 41830 and 41850?

Greatest common factor (GCF) of 41830 and 41850 is 10.

GCF(41830,41850) = 10

We will now calculate the prime factors of 41830 and 41850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41830 and 41850.

How to find the GCF of 41830 and 41850?

We will first find the prime factorization of 41830 and 41850. After we will calculate the factors of 41830 and 41850 and find the biggest common factor number .

Step-1: Prime Factorization of 41830

Prime factors of 41830 are 2, 5, 47, 89. Prime factorization of 41830 in exponential form is:

41830 = 2¹ × 5¹ × 47¹ × 89¹

Step-2: Prime Factorization of 41850

Prime factors of 41850 are 2, 3, 5, 31. Prime factorization of 41850 in exponential form is:

41850 = 2¹ × 3³ × 5² × 31¹

Step-3: Factors of 41830

List of positive integer factors of 41830 that divides 41830 without a remainder.

1, 2, 5, 10, 47, 89, 94, 178, 235, 445, 470, 890, 4183, 8366, 20915

Step-4: Factors of 41850

List of positive integer factors of 41850 that divides 41830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 31, 45, 50, 54, 62, 75, 90, 93, 135, 150, 155, 186, 225, 270, 279, 310, 450, 465, 558, 675, 775, 837, 930, 1350, 1395, 1550, 1674, 2325, 2790, 4185, 4650, 6975, 8370, 13950, 20925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41830 and 41850. The biggest common factor number is the GCF number.
So the greatest common factor 41830 and 41850 is 10.

Also check out the Least Common Multiple of 41830 and 41850