What is the Greatest Common Factor of 46200 and 46213?

Greatest common factor (GCF) of 46200 and 46213 is 1.

GCF(46200,46213) = 1

We will now calculate the prime factors of 46200 and 46213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46200 and 46213.

How to find the GCF of 46200 and 46213?

We will first find the prime factorization of 46200 and 46213. After we will calculate the factors of 46200 and 46213 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 46213

Prime factors of 46213 are 37, 1249. Prime factorization of 46213 in exponential form is:

46213 = 37¹ × 1249¹

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 46213

List of positive integer factors of 46213 that divides 46200 without a remainder.

1, 37, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46200 and 46213. The biggest common factor number is the GCF number.
So the greatest common factor 46200 and 46213 is 1.

Also check out the Least Common Multiple of 46200 and 46213