What is the Greatest Common Factor of 46791 and 46806?

Greatest common factor (GCF) of 46791 and 46806 is 3.

GCF(46791,46806) = 3

We will now calculate the prime factors of 46791 and 46806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46791 and 46806.

How to find the GCF of 46791 and 46806?

We will first find the prime factorization of 46791 and 46806. After we will calculate the factors of 46791 and 46806 and find the biggest common factor number .

Step-1: Prime Factorization of 46791

Prime factors of 46791 are 3, 1733. Prime factorization of 46791 in exponential form is:

46791 = 3³ × 1733¹

Step-2: Prime Factorization of 46806

Prime factors of 46806 are 2, 3, 29, 269. Prime factorization of 46806 in exponential form is:

46806 = 2¹ × 3¹ × 29¹ × 269¹

Step-3: Factors of 46791

List of positive integer factors of 46791 that divides 46791 without a remainder.

1, 3, 9, 27, 1733, 5199, 15597

Step-4: Factors of 46806

List of positive integer factors of 46806 that divides 46791 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 269, 538, 807, 1614, 7801, 15602, 23403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46791 and 46806. The biggest common factor number is the GCF number.
So the greatest common factor 46791 and 46806 is 3.

Also check out the Least Common Multiple of 46791 and 46806