What is the Greatest Common Factor of 46384 and 46404?

Greatest common factor (GCF) of 46384 and 46404 is 4.

GCF(46384,46404) = 4

We will now calculate the prime factors of 46384 and 46404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46384 and 46404.

How to find the GCF of 46384 and 46404?

We will first find the prime factorization of 46384 and 46404. After we will calculate the factors of 46384 and 46404 and find the biggest common factor number .

Step-1: Prime Factorization of 46384

Prime factors of 46384 are 2, 13, 223. Prime factorization of 46384 in exponential form is:

46384 = 2⁴ × 13¹ × 223¹

Step-2: Prime Factorization of 46404

Prime factors of 46404 are 2, 3, 1289. Prime factorization of 46404 in exponential form is:

46404 = 2² × 3² × 1289¹

Step-3: Factors of 46384

List of positive integer factors of 46384 that divides 46384 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 223, 446, 892, 1784, 2899, 3568, 5798, 11596, 23192

Step-4: Factors of 46404

List of positive integer factors of 46404 that divides 46384 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1289, 2578, 3867, 5156, 7734, 11601, 15468, 23202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46384 and 46404. The biggest common factor number is the GCF number.
So the greatest common factor 46384 and 46404 is 4.

Also check out the Least Common Multiple of 46384 and 46404