What is the Greatest Common Factor of 46431 and 46449?

Greatest common factor (GCF) of 46431 and 46449 is 9.

GCF(46431,46449) = 9

We will now calculate the prime factors of 46431 and 46449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46431 and 46449.

How to find the GCF of 46431 and 46449?

We will first find the prime factorization of 46431 and 46449. After we will calculate the factors of 46431 and 46449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46449

Prime factors of 46449 are 3, 13, 397. Prime factorization of 46449 in exponential form is:

46449 = 3² × 13¹ × 397¹

Step-3: Factors of 46431

List of positive integer factors of 46431 that divides 46431 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

Step-4: Factors of 46449

List of positive integer factors of 46449 that divides 46431 without a remainder.

1, 3, 9, 13, 39, 117, 397, 1191, 3573, 5161, 15483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46431 and 46449. The biggest common factor number is the GCF number.
So the greatest common factor 46431 and 46449 is 9.

Also check out the Least Common Multiple of 46431 and 46449