What is the Greatest Common Factor of 46413 and 46431?

Greatest common factor (GCF) of 46413 and 46431 is 9.

GCF(46413,46431) = 9

We will now calculate the prime factors of 46413 and 46431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46413 and 46431.

How to find the GCF of 46413 and 46431?

We will first find the prime factorization of 46413 and 46431. After we will calculate the factors of 46413 and 46431 and find the biggest common factor number .

Step-1: Prime Factorization of 46413

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

46413 = 3⁵ × 191¹

Step-2: Prime Factorization of 46431

Prime factors of 46431 are 3, 7, 11, 67. Prime factorization of 46431 in exponential form is:

46431 = 3² × 7¹ × 11¹ × 67¹

Step-3: Factors of 46413

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

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

Step-4: Factors of 46431

List of positive integer factors of 46431 that divides 46413 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 67, 77, 99, 201, 231, 469, 603, 693, 737, 1407, 2211, 4221, 5159, 6633, 15477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46413 and 46431. The biggest common factor number is the GCF number.
So the greatest common factor 46413 and 46431 is 9.

Also check out the Least Common Multiple of 46413 and 46431