What is the Greatest Common Factor of 41855 and 41870?

Greatest common factor (GCF) of 41855 and 41870 is 5.

GCF(41855,41870) = 5

We will now calculate the prime factors of 41855 and 41870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41855 and 41870.

How to find the GCF of 41855 and 41870?

We will first find the prime factorization of 41855 and 41870. After we will calculate the factors of 41855 and 41870 and find the biggest common factor number .

Step-1: Prime Factorization of 41855

Prime factors of 41855 are 5, 11, 761. Prime factorization of 41855 in exponential form is:

41855 = 5¹ × 11¹ × 761¹

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 41855

List of positive integer factors of 41855 that divides 41855 without a remainder.

1, 5, 11, 55, 761, 3805, 8371

Step-4: Factors of 41870

List of positive integer factors of 41870 that divides 41855 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 41855 and 41870. The biggest common factor number is the GCF number.
So the greatest common factor 41855 and 41870 is 5.

Also check out the Least Common Multiple of 41855 and 41870