What is the Greatest Common Factor of 41814 and 41827?

Greatest common factor (GCF) of 41814 and 41827 is 1.

GCF(41814,41827) = 1

We will now calculate the prime factors of 41814 and 41827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41827.

How to find the GCF of 41814 and 41827?

We will first find the prime factorization of 41814 and 41827. After we will calculate the factors of 41814 and 41827 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 41827

Prime factors of 41827 are 151, 277. Prime factorization of 41827 in exponential form is:

41827 = 151¹ × 277¹

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 41827

List of positive integer factors of 41827 that divides 41814 without a remainder.

1, 151, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41827. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41827 is 1.

Also check out the Least Common Multiple of 41814 and 41827