What is the Greatest Common Factor of 46773 and 46791?

Greatest common factor (GCF) of 46773 and 46791 is 9.

GCF(46773,46791) = 9

We will now calculate the prime factors of 46773 and 46791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46773 and 46791.

How to find the GCF of 46773 and 46791?

We will first find the prime factorization of 46773 and 46791. After we will calculate the factors of 46773 and 46791 and find the biggest common factor number .

Step-1: Prime Factorization of 46773

Prime factors of 46773 are 3, 5197. Prime factorization of 46773 in exponential form is:

46773 = 3² × 5197¹

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 46773

List of positive integer factors of 46773 that divides 46773 without a remainder.

1, 3, 9, 5197, 15591

Step-4: Factors of 46791

List of positive integer factors of 46791 that divides 46773 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46773 and 46791. The biggest common factor number is the GCF number.
So the greatest common factor 46773 and 46791 is 9.

Also check out the Least Common Multiple of 46773 and 46791