What is the Greatest Common Factor of 36490 and 36500?

Greatest common factor (GCF) of 36490 and 36500 is 10.

GCF(36490,36500) = 10

We will now calculate the prime factors of 36490 and 36500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36490 and 36500.

How to find the GCF of 36490 and 36500?

We will first find the prime factorization of 36490 and 36500. After we will calculate the factors of 36490 and 36500 and find the biggest common factor number .

Step-1: Prime Factorization of 36490

Prime factors of 36490 are 2, 5, 41, 89. Prime factorization of 36490 in exponential form is:

36490 = 2¹ × 5¹ × 41¹ × 89¹

Step-2: Prime Factorization of 36500

Prime factors of 36500 are 2, 5, 73. Prime factorization of 36500 in exponential form is:

36500 = 2² × 5³ × 73¹

Step-3: Factors of 36490

List of positive integer factors of 36490 that divides 36490 without a remainder.

1, 2, 5, 10, 41, 82, 89, 178, 205, 410, 445, 890, 3649, 7298, 18245

Step-4: Factors of 36500

List of positive integer factors of 36500 that divides 36490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 125, 146, 250, 292, 365, 500, 730, 1460, 1825, 3650, 7300, 9125, 18250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36490 and 36500. The biggest common factor number is the GCF number.
So the greatest common factor 36490 and 36500 is 10.

Also check out the Least Common Multiple of 36490 and 36500