What is the Greatest Common Factor of 41814 and 41819?

Greatest common factor (GCF) of 41814 and 41819 is 1.

GCF(41814,41819) = 1

We will now calculate the prime factors of 41814 and 41819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41819.

How to find the GCF of 41814 and 41819?

We will first find the prime factorization of 41814 and 41819. After we will calculate the factors of 41814 and 41819 and find the biggest common factor number .

Step-1: Prime Factorization of 41814

Prime factors of 41814 are 2, 3, 23, 101. Prime factorization of 41814 in exponential form is:

41814 = 2¹ × 3² × 23¹ × 101¹

Step-2: Prime Factorization of 41819

Prime factors of 41819 are 19, 31, 71. Prime factorization of 41819 in exponential form is:

41819 = 19¹ × 31¹ × 71¹

Step-3: Factors of 41814

List of positive integer factors of 41814 that divides 41814 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 101, 138, 202, 207, 303, 414, 606, 909, 1818, 2323, 4646, 6969, 13938, 20907

Step-4: Factors of 41819

List of positive integer factors of 41819 that divides 41814 without a remainder.

1, 19, 31, 71, 589, 1349, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41819. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41819 is 1.

Also check out the Least Common Multiple of 41814 and 41819