What is the Greatest Common Factor of 46368 and 46384?

Greatest common factor (GCF) of 46368 and 46384 is 16.

GCF(46368,46384) = 16

We will now calculate the prime factors of 46368 and 46384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46368 and 46384.

How to find the GCF of 46368 and 46384?

We will first find the prime factorization of 46368 and 46384. After we will calculate the factors of 46368 and 46384 and find the biggest common factor number .

Step-1: Prime Factorization of 46368

Prime factors of 46368 are 2, 3, 7, 23. Prime factorization of 46368 in exponential form is:

46368 = 2⁵ × 3² × 7¹ × 23¹

Step-2: 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-3: Factors of 46368

List of positive integer factors of 46368 that divides 46368 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28, 32, 36, 42, 46, 48, 56, 63, 69, 72, 84, 92, 96, 112, 126, 138, 144, 161, 168, 184, 207, 224, 252, 276, 288, 322, 336, 368, 414, 483, 504, 552, 644, 672, 736, 828, 966, 1008, 1104, 1288, 1449, 1656, 1932, 2016, 2208, 2576, 2898, 3312, 3864, 5152, 5796, 6624, 7728, 11592, 15456, 23184

Step-4: Factors of 46384

List of positive integer factors of 46384 that divides 46368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46368 and 46384. The biggest common factor number is the GCF number.
So the greatest common factor 46368 and 46384 is 16.

Also check out the Least Common Multiple of 46368 and 46384