What is the Greatest Common Factor of 46368 and 46382?

Greatest common factor (GCF) of 46368 and 46382 is 14.

GCF(46368,46382) = 14

We will now calculate the prime factors of 46368 and 46382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46368 and 46382.

How to find the GCF of 46368 and 46382?

We will first find the prime factorization of 46368 and 46382. After we will calculate the factors of 46368 and 46382 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 46382

Prime factors of 46382 are 2, 7, 3313. Prime factorization of 46382 in exponential form is:

46382 = 2¹ × 7¹ × 3313¹

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 46382

List of positive integer factors of 46382 that divides 46368 without a remainder.

1, 2, 7, 14, 3313, 6626, 23191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46368 and 46382. The biggest common factor number is the GCF number.
So the greatest common factor 46368 and 46382 is 14.

Also check out the Least Common Multiple of 46368 and 46382