What is the Greatest Common Factor of 46782 and 46800?

Greatest common factor (GCF) of 46782 and 46800 is 18.

GCF(46782,46800) = 18

We will now calculate the prime factors of 46782 and 46800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46782 and 46800.

How to find the GCF of 46782 and 46800?

We will first find the prime factorization of 46782 and 46800. After we will calculate the factors of 46782 and 46800 and find the biggest common factor number .

Step-1: Prime Factorization of 46782

Prime factors of 46782 are 2, 3, 23, 113. Prime factorization of 46782 in exponential form is:

46782 = 2¹ × 3² × 23¹ × 113¹

Step-2: Prime Factorization of 46800

Prime factors of 46800 are 2, 3, 5, 13. Prime factorization of 46800 in exponential form is:

46800 = 2⁴ × 3² × 5² × 13¹

Step-3: Factors of 46782

List of positive integer factors of 46782 that divides 46782 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 113, 138, 207, 226, 339, 414, 678, 1017, 2034, 2599, 5198, 7797, 15594, 23391

Step-4: Factors of 46800

List of positive integer factors of 46800 that divides 46782 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 30, 36, 39, 40, 45, 48, 50, 52, 60, 65, 72, 75, 78, 80, 90, 100, 104, 117, 120, 130, 144, 150, 156, 180, 195, 200, 208, 225, 234, 240, 260, 300, 312, 325, 360, 390, 400, 450, 468, 520, 585, 600, 624, 650, 720, 780, 900, 936, 975, 1040, 1170, 1200, 1300, 1560, 1800, 1872, 1950, 2340, 2600, 2925, 3120, 3600, 3900, 4680, 5200, 5850, 7800, 9360, 11700, 15600, 23400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46782 and 46800. The biggest common factor number is the GCF number.
So the greatest common factor 46782 and 46800 is 18.

Also check out the Least Common Multiple of 46782 and 46800