What is the Greatest Common Factor of 46480 and 46500?

Greatest common factor (GCF) of 46480 and 46500 is 20.

GCF(46480,46500) = 20

We will now calculate the prime factors of 46480 and 46500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46480 and 46500.

How to find the GCF of 46480 and 46500?

We will first find the prime factorization of 46480 and 46500. After we will calculate the factors of 46480 and 46500 and find the biggest common factor number .

Step-1: Prime Factorization of 46480

Prime factors of 46480 are 2, 5, 7, 83. Prime factorization of 46480 in exponential form is:

46480 = 2⁴ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 46500

Prime factors of 46500 are 2, 3, 5, 31. Prime factorization of 46500 in exponential form is:

46500 = 2² × 3¹ × 5³ × 31¹

Step-3: Factors of 46480

List of positive integer factors of 46480 that divides 46480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 83, 112, 140, 166, 280, 332, 415, 560, 581, 664, 830, 1162, 1328, 1660, 2324, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 23240

Step-4: Factors of 46500

List of positive integer factors of 46500 that divides 46480 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 125, 150, 155, 186, 250, 300, 310, 372, 375, 465, 500, 620, 750, 775, 930, 1500, 1550, 1860, 2325, 3100, 3875, 4650, 7750, 9300, 11625, 15500, 23250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46480 and 46500. The biggest common factor number is the GCF number.
So the greatest common factor 46480 and 46500 is 20.

Also check out the Least Common Multiple of 46480 and 46500