What is the Greatest Common Factor of 46401 and 46416?

Greatest common factor (GCF) of 46401 and 46416 is 3.

GCF(46401,46416) = 3

We will now calculate the prime factors of 46401 and 46416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46401 and 46416.

How to find the GCF of 46401 and 46416?

We will first find the prime factorization of 46401 and 46416. After we will calculate the factors of 46401 and 46416 and find the biggest common factor number .

Step-1: Prime Factorization of 46401

Prime factors of 46401 are 3, 15467. Prime factorization of 46401 in exponential form is:

46401 = 3¹ × 15467¹

Step-2: Prime Factorization of 46416

Prime factors of 46416 are 2, 3, 967. Prime factorization of 46416 in exponential form is:

46416 = 2⁴ × 3¹ × 967¹

Step-3: Factors of 46401

List of positive integer factors of 46401 that divides 46401 without a remainder.

1, 3, 15467

Step-4: Factors of 46416

List of positive integer factors of 46416 that divides 46401 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46401 and 46416. The biggest common factor number is the GCF number.
So the greatest common factor 46401 and 46416 is 3.

Also check out the Least Common Multiple of 46401 and 46416