What is the Greatest Common Factor of 64500 and 64511?

Greatest common factor (GCF) of 64500 and 64511 is 1.

GCF(64500,64511) = 1

We will now calculate the prime factors of 64500 and 64511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64511.

How to find the GCF of 64500 and 64511?

We will first find the prime factorization of 64500 and 64511. After we will calculate the factors of 64500 and 64511 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64511

Prime factors of 64511 are 31, 2081. Prime factorization of 64511 in exponential form is:

64511 = 31¹ × 2081¹

Step-3: Factors of 64500

List of positive integer factors of 64500 that divides 64500 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

Step-4: Factors of 64511

List of positive integer factors of 64511 that divides 64500 without a remainder.

1, 31, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64511. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64511 is 1.

Also check out the Least Common Multiple of 64500 and 64511