What is the Greatest Common Factor of 46490 and 46500?

Greatest common factor (GCF) of 46490 and 46500 is 10.

GCF(46490,46500) = 10

We will now calculate the prime factors of 46490 and 46500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46490 and 46500.

How to find the GCF of 46490 and 46500?

We will first find the prime factorization of 46490 and 46500. After we will calculate the factors of 46490 and 46500 and find the biggest common factor number .

Step-1: Prime Factorization of 46490

Prime factors of 46490 are 2, 5, 4649. Prime factorization of 46490 in exponential form is:

46490 = 2¹ × 5¹ × 4649¹

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 46490

List of positive integer factors of 46490 that divides 46490 without a remainder.

1, 2, 5, 10, 4649, 9298, 23245

Step-4: Factors of 46500

List of positive integer factors of 46500 that divides 46490 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 46490 and 46500. The biggest common factor number is the GCF number.
So the greatest common factor 46490 and 46500 is 10.

Also check out the Least Common Multiple of 46490 and 46500