What is the Greatest Common Factor of 41667 and 41673?

Greatest common factor (GCF) of 41667 and 41673 is 3.

GCF(41667,41673) = 3

We will now calculate the prime factors of 41667 and 41673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41667 and 41673.

How to find the GCF of 41667 and 41673?

We will first find the prime factorization of 41667 and 41673. After we will calculate the factors of 41667 and 41673 and find the biggest common factor number .

Step-1: Prime Factorization of 41667

Prime factors of 41667 are 3, 17, 19, 43. Prime factorization of 41667 in exponential form is:

41667 = 3¹ × 17¹ × 19¹ × 43¹

Step-2: Prime Factorization of 41673

Prime factors of 41673 are 3, 29, 479. Prime factorization of 41673 in exponential form is:

41673 = 3¹ × 29¹ × 479¹

Step-3: Factors of 41667

List of positive integer factors of 41667 that divides 41667 without a remainder.

1, 3, 17, 19, 43, 51, 57, 129, 323, 731, 817, 969, 2193, 2451, 13889

Step-4: Factors of 41673

List of positive integer factors of 41673 that divides 41667 without a remainder.

1, 3, 29, 87, 479, 1437, 13891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41667 and 41673. The biggest common factor number is the GCF number.
So the greatest common factor 41667 and 41673 is 3.

Also check out the Least Common Multiple of 41667 and 41673