What is the Greatest Common Factor of 46431 and 46446?

Greatest common factor (GCF) of 46431 and 46446 is 3.

GCF(46431,46446) = 3

We will now calculate the prime factors of 46431 and 46446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46431 and 46446.

How to find the GCF of 46431 and 46446?

We will first find the prime factorization of 46431 and 46446. After we will calculate the factors of 46431 and 46446 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 46446

Prime factors of 46446 are 2, 3, 7741. Prime factorization of 46446 in exponential form is:

46446 = 2¹ × 3¹ × 7741¹

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 46446

List of positive integer factors of 46446 that divides 46431 without a remainder.

1, 2, 3, 6, 7741, 15482, 23223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46431 and 46446. The biggest common factor number is the GCF number.
So the greatest common factor 46431 and 46446 is 3.

Also check out the Least Common Multiple of 46431 and 46446