What is the Greatest Common Factor of 41457 and 41466?

Greatest common factor (GCF) of 41457 and 41466 is 3.

GCF(41457,41466) = 3

We will now calculate the prime factors of 41457 and 41466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41457 and 41466.

How to find the GCF of 41457 and 41466?

We will first find the prime factorization of 41457 and 41466. After we will calculate the factors of 41457 and 41466 and find the biggest common factor number .

Step-1: Prime Factorization of 41457

Prime factors of 41457 are 3, 13, 1063. Prime factorization of 41457 in exponential form is:

41457 = 3¹ × 13¹ × 1063¹

Step-2: Prime Factorization of 41466

Prime factors of 41466 are 2, 3, 6911. Prime factorization of 41466 in exponential form is:

41466 = 2¹ × 3¹ × 6911¹

Step-3: Factors of 41457

List of positive integer factors of 41457 that divides 41457 without a remainder.

1, 3, 13, 39, 1063, 3189, 13819

Step-4: Factors of 41466

List of positive integer factors of 41466 that divides 41457 without a remainder.

1, 2, 3, 6, 6911, 13822, 20733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41457 and 41466. The biggest common factor number is the GCF number.
So the greatest common factor 41457 and 41466 is 3.

Also check out the Least Common Multiple of 41457 and 41466