What is the Greatest Common Factor of 46785 and 46800?

Greatest common factor (GCF) of 46785 and 46800 is 15.

GCF(46785,46800) = 15

We will now calculate the prime factors of 46785 and 46800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46785 and 46800.

How to find the GCF of 46785 and 46800?

We will first find the prime factorization of 46785 and 46800. After we will calculate the factors of 46785 and 46800 and find the biggest common factor number .

Step-1: Prime Factorization of 46785

Prime factors of 46785 are 3, 5, 3119. Prime factorization of 46785 in exponential form is:

46785 = 3¹ × 5¹ × 3119¹

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 46785

List of positive integer factors of 46785 that divides 46785 without a remainder.

1, 3, 5, 15, 3119, 9357, 15595

Step-4: Factors of 46800

List of positive integer factors of 46800 that divides 46785 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 46785 and 46800. The biggest common factor number is the GCF number.
So the greatest common factor 46785 and 46800 is 15.

Also check out the Least Common Multiple of 46785 and 46800