What is the Greatest Common Factor of 46384 and 46396?

Greatest common factor (GCF) of 46384 and 46396 is 4.

GCF(46384,46396) = 4

We will now calculate the prime factors of 46384 and 46396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46384 and 46396.

How to find the GCF of 46384 and 46396?

We will first find the prime factorization of 46384 and 46396. After we will calculate the factors of 46384 and 46396 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 46396

Prime factors of 46396 are 2, 7, 1657. Prime factorization of 46396 in exponential form is:

46396 = 2² × 7¹ × 1657¹

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 46396

List of positive integer factors of 46396 that divides 46384 without a remainder.

1, 2, 4, 7, 14, 28, 1657, 3314, 6628, 11599, 23198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46384 and 46396. The biggest common factor number is the GCF number.
So the greatest common factor 46384 and 46396 is 4.

Also check out the Least Common Multiple of 46384 and 46396