What is the Greatest Common Factor of 46779 and 46791?

Greatest common factor (GCF) of 46779 and 46791 is 3.

GCF(46779,46791) = 3

We will now calculate the prime factors of 46779 and 46791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46779 and 46791.

How to find the GCF of 46779 and 46791?

We will first find the prime factorization of 46779 and 46791. After we will calculate the factors of 46779 and 46791 and find the biggest common factor number .

Step-1: Prime Factorization of 46779

Prime factors of 46779 are 3, 31, 503. Prime factorization of 46779 in exponential form is:

46779 = 3¹ × 31¹ × 503¹

Step-2: Prime Factorization of 46791

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

46791 = 3³ × 1733¹

Step-3: Factors of 46779

List of positive integer factors of 46779 that divides 46779 without a remainder.

1, 3, 31, 93, 503, 1509, 15593

Step-4: Factors of 46791

List of positive integer factors of 46791 that divides 46779 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46779 and 46791. The biggest common factor number is the GCF number.
So the greatest common factor 46779 and 46791 is 3.

Also check out the Least Common Multiple of 46779 and 46791