What is the Greatest Common Factor of 46791 and 46809?

Greatest common factor (GCF) of 46791 and 46809 is 9.

GCF(46791,46809) = 9

We will now calculate the prime factors of 46791 and 46809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46791 and 46809.

How to find the GCF of 46791 and 46809?

We will first find the prime factorization of 46791 and 46809. After we will calculate the factors of 46791 and 46809 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 46809

Prime factors of 46809 are 3, 7, 743. Prime factorization of 46809 in exponential form is:

46809 = 3² × 7¹ × 743¹

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 46809

List of positive integer factors of 46809 that divides 46791 without a remainder.

1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46791 and 46809. The biggest common factor number is the GCF number.
So the greatest common factor 46791 and 46809 is 9.

Also check out the Least Common Multiple of 46791 and 46809