What is the Greatest Common Factor of 46200 and 46211?

Greatest common factor (GCF) of 46200 and 46211 is 11.

GCF(46200,46211) = 11

We will now calculate the prime factors of 46200 and 46211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46200 and 46211.

How to find the GCF of 46200 and 46211?

We will first find the prime factorization of 46200 and 46211. After we will calculate the factors of 46200 and 46211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46211

Prime factors of 46211 are 11, 4201. Prime factorization of 46211 in exponential form is:

46211 = 11¹ × 4201¹

Step-3: Factors of 46200

List of positive integer factors of 46200 that divides 46200 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

Step-4: Factors of 46211

List of positive integer factors of 46211 that divides 46200 without a remainder.

1, 11, 4201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46200 and 46211. The biggest common factor number is the GCF number.
So the greatest common factor 46200 and 46211 is 11.

Also check out the Least Common Multiple of 46200 and 46211