What is the Greatest Common Factor of 46407 and 46413?

Greatest common factor (GCF) of 46407 and 46413 is 3.

GCF(46407,46413) = 3

We will now calculate the prime factors of 46407 and 46413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46407 and 46413.

How to find the GCF of 46407 and 46413?

We will first find the prime factorization of 46407 and 46413. After we will calculate the factors of 46407 and 46413 and find the biggest common factor number .

Step-1: Prime Factorization of 46407

Prime factors of 46407 are 3, 31, 499. Prime factorization of 46407 in exponential form is:

46407 = 3¹ × 31¹ × 499¹

Step-2: Prime Factorization of 46413

Prime factors of 46413 are 3, 191. Prime factorization of 46413 in exponential form is:

46413 = 3⁵ × 191¹

Step-3: Factors of 46407

List of positive integer factors of 46407 that divides 46407 without a remainder.

1, 3, 31, 93, 499, 1497, 15469

Step-4: Factors of 46413

List of positive integer factors of 46413 that divides 46407 without a remainder.

1, 3, 9, 27, 81, 191, 243, 573, 1719, 5157, 15471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46407 and 46413. The biggest common factor number is the GCF number.
So the greatest common factor 46407 and 46413 is 3.

Also check out the Least Common Multiple of 46407 and 46413