What is the Greatest Common Factor of 41850 and 41870?

Greatest common factor (GCF) of 41850 and 41870 is 10.

GCF(41850,41870) = 10

We will now calculate the prime factors of 41850 and 41870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41850 and 41870.

How to find the GCF of 41850 and 41870?

We will first find the prime factorization of 41850 and 41870. After we will calculate the factors of 41850 and 41870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41870

Prime factors of 41870 are 2, 5, 53, 79. Prime factorization of 41870 in exponential form is:

41870 = 2¹ × 5¹ × 53¹ × 79¹

Step-3: Factors of 41850

List of positive integer factors of 41850 that divides 41850 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

Step-4: Factors of 41870

List of positive integer factors of 41870 that divides 41850 without a remainder.

1, 2, 5, 10, 53, 79, 106, 158, 265, 395, 530, 790, 4187, 8374, 20935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41850 and 41870. The biggest common factor number is the GCF number.
So the greatest common factor 41850 and 41870 is 10.

Also check out the Least Common Multiple of 41850 and 41870