What is the Greatest Common Factor of 46384 and 46394?

Greatest common factor (GCF) of 46384 and 46394 is 2.

GCF(46384,46394) = 2

We will now calculate the prime factors of 46384 and 46394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46384 and 46394.

How to find the GCF of 46384 and 46394?

We will first find the prime factorization of 46384 and 46394. After we will calculate the factors of 46384 and 46394 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 46394

Prime factors of 46394 are 2, 23197. Prime factorization of 46394 in exponential form is:

46394 = 2¹ × 23197¹

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 46394

List of positive integer factors of 46394 that divides 46384 without a remainder.

1, 2, 23197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46384 and 46394. The biggest common factor number is the GCF number.
So the greatest common factor 46384 and 46394 is 2.

Also check out the Least Common Multiple of 46384 and 46394