What is the Greatest Common Factor of 41840 and 41855?

Greatest common factor (GCF) of 41840 and 41855 is 5.

GCF(41840,41855) = 5

We will now calculate the prime factors of 41840 and 41855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41840 and 41855.

How to find the GCF of 41840 and 41855?

We will first find the prime factorization of 41840 and 41855. After we will calculate the factors of 41840 and 41855 and find the biggest common factor number .

Step-1: Prime Factorization of 41840

Prime factors of 41840 are 2, 5, 523. Prime factorization of 41840 in exponential form is:

41840 = 2⁴ × 5¹ × 523¹

Step-2: 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-3: Factors of 41840

List of positive integer factors of 41840 that divides 41840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 523, 1046, 2092, 2615, 4184, 5230, 8368, 10460, 20920

Step-4: Factors of 41855

List of positive integer factors of 41855 that divides 41840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41840 and 41855. The biggest common factor number is the GCF number.
So the greatest common factor 41840 and 41855 is 5.

Also check out the Least Common Multiple of 41840 and 41855