What is the Greatest Common Factor of 46368 and 46386?

Greatest common factor (GCF) of 46368 and 46386 is 18.

GCF(46368,46386) = 18

We will now calculate the prime factors of 46368 and 46386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46368 and 46386.

How to find the GCF of 46368 and 46386?

We will first find the prime factorization of 46368 and 46386. After we will calculate the factors of 46368 and 46386 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 46386

Prime factors of 46386 are 2, 3, 859. Prime factorization of 46386 in exponential form is:

46386 = 2¹ × 3³ × 859¹

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 46386

List of positive integer factors of 46386 that divides 46368 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 859, 1718, 2577, 5154, 7731, 15462, 23193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46368 and 46386. The biggest common factor number is the GCF number.
So the greatest common factor 46368 and 46386 is 18.

Also check out the Least Common Multiple of 46368 and 46386