What is the Greatest Common Factor of 46191 and 46200?

Greatest common factor (GCF) of 46191 and 46200 is 3.

GCF(46191,46200) = 3

We will now calculate the prime factors of 46191 and 46200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46191 and 46200.

How to find the GCF of 46191 and 46200?

We will first find the prime factorization of 46191 and 46200. After we will calculate the factors of 46191 and 46200 and find the biggest common factor number .

Step-1: Prime Factorization of 46191

Prime factors of 46191 are 3, 89, 173. Prime factorization of 46191 in exponential form is:

46191 = 3¹ × 89¹ × 173¹

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 46191

List of positive integer factors of 46191 that divides 46191 without a remainder.

1, 3, 89, 173, 267, 519, 15397

Step-4: Factors of 46200

List of positive integer factors of 46200 that divides 46191 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 46191 and 46200. The biggest common factor number is the GCF number.
So the greatest common factor 46191 and 46200 is 3.

Also check out the Least Common Multiple of 46191 and 46200