What is the Greatest Common Factor of 43490 and 43500?

Greatest common factor (GCF) of 43490 and 43500 is 10.

GCF(43490,43500) = 10

We will now calculate the prime factors of 43490 and 43500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43490 and 43500.

How to find the GCF of 43490 and 43500?

We will first find the prime factorization of 43490 and 43500. After we will calculate the factors of 43490 and 43500 and find the biggest common factor number .

Step-1: Prime Factorization of 43490

Prime factors of 43490 are 2, 5, 4349. Prime factorization of 43490 in exponential form is:

43490 = 2¹ × 5¹ × 4349¹

Step-2: Prime Factorization of 43500

Prime factors of 43500 are 2, 3, 5, 29. Prime factorization of 43500 in exponential form is:

43500 = 2² × 3¹ × 5³ × 29¹

Step-3: Factors of 43490

List of positive integer factors of 43490 that divides 43490 without a remainder.

1, 2, 5, 10, 4349, 8698, 21745

Step-4: Factors of 43500

List of positive integer factors of 43500 that divides 43490 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 125, 145, 150, 174, 250, 290, 300, 348, 375, 435, 500, 580, 725, 750, 870, 1450, 1500, 1740, 2175, 2900, 3625, 4350, 7250, 8700, 10875, 14500, 21750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43490 and 43500. The biggest common factor number is the GCF number.
So the greatest common factor 43490 and 43500 is 10.

Also check out the Least Common Multiple of 43490 and 43500