What is the Greatest Common Factor of 46791 and 46797?

Greatest common factor (GCF) of 46791 and 46797 is 3.

GCF(46791,46797) = 3

We will now calculate the prime factors of 46791 and 46797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46791 and 46797.

How to find the GCF of 46791 and 46797?

We will first find the prime factorization of 46791 and 46797. After we will calculate the factors of 46791 and 46797 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 46797

Prime factors of 46797 are 3, 19, 821. Prime factorization of 46797 in exponential form is:

46797 = 3¹ × 19¹ × 821¹

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 46797

List of positive integer factors of 46797 that divides 46791 without a remainder.

1, 3, 19, 57, 821, 2463, 15599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46791 and 46797. The biggest common factor number is the GCF number.
So the greatest common factor 46791 and 46797 is 3.

Also check out the Least Common Multiple of 46791 and 46797