What is the Greatest Common Factor of 46200 and 46220?

Greatest common factor (GCF) of 46200 and 46220 is 20.

GCF(46200,46220) = 20

We will now calculate the prime factors of 46200 and 46220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46200 and 46220.

How to find the GCF of 46200 and 46220?

We will first find the prime factorization of 46200 and 46220. After we will calculate the factors of 46200 and 46220 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 46220

Prime factors of 46220 are 2, 5, 2311. Prime factorization of 46220 in exponential form is:

46220 = 2² × 5¹ × 2311¹

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 46220

List of positive integer factors of 46220 that divides 46200 without a remainder.

1, 2, 4, 5, 10, 20, 2311, 4622, 9244, 11555, 23110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46200 and 46220. The biggest common factor number is the GCF number.
So the greatest common factor 46200 and 46220 is 20.

Also check out the Least Common Multiple of 46200 and 46220