What is the Greatest Common Factor of 64493 and 64500?

Greatest common factor (GCF) of 64493 and 64500 is 1.

GCF(64493,64500) = 1

We will now calculate the prime factors of 64493 and 64500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64493 and 64500.

How to find the GCF of 64493 and 64500?

We will first find the prime factorization of 64493 and 64500. After we will calculate the factors of 64493 and 64500 and find the biggest common factor number .

Step-1: Prime Factorization of 64493

Prime factors of 64493 are 11, 13, 41. Prime factorization of 64493 in exponential form is:

64493 = 11² × 13¹ × 41¹

Step-2: Prime Factorization of 64500

Prime factors of 64500 are 2, 3, 5, 43. Prime factorization of 64500 in exponential form is:

64500 = 2² × 3¹ × 5³ × 43¹

Step-3: Factors of 64493

List of positive integer factors of 64493 that divides 64493 without a remainder.

1, 11, 13, 41, 121, 143, 451, 533, 1573, 4961, 5863

Step-4: Factors of 64500

List of positive integer factors of 64500 that divides 64493 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 43, 50, 60, 75, 86, 100, 125, 129, 150, 172, 215, 250, 258, 300, 375, 430, 500, 516, 645, 750, 860, 1075, 1290, 1500, 2150, 2580, 3225, 4300, 5375, 6450, 10750, 12900, 16125, 21500, 32250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64493 and 64500. The biggest common factor number is the GCF number.
So the greatest common factor 64493 and 64500 is 1.

Also check out the Least Common Multiple of 64493 and 64500