What is the Greatest Common Factor of 36494 and 36500?

Greatest common factor (GCF) of 36494 and 36500 is 2.

GCF(36494,36500) = 2

We will now calculate the prime factors of 36494 and 36500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36494 and 36500.

How to find the GCF of 36494 and 36500?

We will first find the prime factorization of 36494 and 36500. After we will calculate the factors of 36494 and 36500 and find the biggest common factor number .

Step-1: Prime Factorization of 36494

Prime factors of 36494 are 2, 71, 257. Prime factorization of 36494 in exponential form is:

36494 = 2¹ × 71¹ × 257¹

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 36494

List of positive integer factors of 36494 that divides 36494 without a remainder.

1, 2, 71, 142, 257, 514, 18247

Step-4: Factors of 36500

List of positive integer factors of 36500 that divides 36494 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 36494 and 36500. The biggest common factor number is the GCF number.
So the greatest common factor 36494 and 36500 is 2.

Also check out the Least Common Multiple of 36494 and 36500