What is the Greatest Common Factor of 46188 and 46200?

Greatest common factor (GCF) of 46188 and 46200 is 12.

GCF(46188,46200) = 12

We will now calculate the prime factors of 46188 and 46200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46188 and 46200.

How to find the GCF of 46188 and 46200?

We will first find the prime factorization of 46188 and 46200. After we will calculate the factors of 46188 and 46200 and find the biggest common factor number .

Step-1: Prime Factorization of 46188

Prime factors of 46188 are 2, 3, 1283. Prime factorization of 46188 in exponential form is:

46188 = 2² × 3² × 1283¹

Step-2: Prime Factorization of 46200

Prime factors of 46200 are 2, 3, 5, 7, 11. Prime factorization of 46200 in exponential form is:

46200 = 2³ × 3¹ × 5² × 7¹ × 11¹

Step-3: Factors of 46188

List of positive integer factors of 46188 that divides 46188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1283, 2566, 3849, 5132, 7698, 11547, 15396, 23094

Step-4: Factors of 46200

List of positive integer factors of 46200 that divides 46188 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 25, 28, 30, 33, 35, 40, 42, 44, 50, 55, 56, 60, 66, 70, 75, 77, 84, 88, 100, 105, 110, 120, 132, 140, 150, 154, 165, 168, 175, 200, 210, 220, 231, 264, 275, 280, 300, 308, 330, 350, 385, 420, 440, 462, 525, 550, 600, 616, 660, 700, 770, 825, 840, 924, 1050, 1100, 1155, 1320, 1400, 1540, 1650, 1848, 1925, 2100, 2200, 2310, 3080, 3300, 3850, 4200, 4620, 5775, 6600, 7700, 9240, 11550, 15400, 23100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46188 and 46200. The biggest common factor number is the GCF number.
So the greatest common factor 46188 and 46200 is 12.

Also check out the Least Common Multiple of 46188 and 46200