What is the Greatest Common Factor of 46473 and 46491?

Greatest common factor (GCF) of 46473 and 46491 is 3.

GCF(46473,46491) = 3

We will now calculate the prime factors of 46473 and 46491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46473 and 46491.

How to find the GCF of 46473 and 46491?

We will first find the prime factorization of 46473 and 46491. After we will calculate the factors of 46473 and 46491 and find the biggest common factor number .

Step-1: Prime Factorization of 46473

Prime factors of 46473 are 3, 7, 2213. Prime factorization of 46473 in exponential form is:

46473 = 3¹ × 7¹ × 2213¹

Step-2: Prime Factorization of 46491

Prime factors of 46491 are 3, 15497. Prime factorization of 46491 in exponential form is:

46491 = 3¹ × 15497¹

Step-3: Factors of 46473

List of positive integer factors of 46473 that divides 46473 without a remainder.

1, 3, 7, 21, 2213, 6639, 15491

Step-4: Factors of 46491

List of positive integer factors of 46491 that divides 46473 without a remainder.

1, 3, 15497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46473 and 46491. The biggest common factor number is the GCF number.
So the greatest common factor 46473 and 46491 is 3.

Also check out the Least Common Multiple of 46473 and 46491