What is the Greatest Common Factor of 46791 and 46803?

Greatest common factor (GCF) of 46791 and 46803 is 3.

GCF(46791,46803) = 3

We will now calculate the prime factors of 46791 and 46803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46791 and 46803.

How to find the GCF of 46791 and 46803?

We will first find the prime factorization of 46791 and 46803. After we will calculate the factors of 46791 and 46803 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 46803

Prime factors of 46803 are 3, 15601. Prime factorization of 46803 in exponential form is:

46803 = 3¹ × 15601¹

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 46803

List of positive integer factors of 46803 that divides 46791 without a remainder.

1, 3, 15601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46791 and 46803. The biggest common factor number is the GCF number.
So the greatest common factor 46791 and 46803 is 3.

Also check out the Least Common Multiple of 46791 and 46803