What is the Greatest Common Factor of 64500 and 64506?

Greatest common factor (GCF) of 64500 and 64506 is 6.

GCF(64500,64506) = 6

We will now calculate the prime factors of 64500 and 64506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64506.

How to find the GCF of 64500 and 64506?

We will first find the prime factorization of 64500 and 64506. After we will calculate the factors of 64500 and 64506 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 64506

Prime factors of 64506 are 2, 3, 13, 827. Prime factorization of 64506 in exponential form is:

64506 = 2¹ × 3¹ × 13¹ × 827¹

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 64506

List of positive integer factors of 64506 that divides 64500 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 827, 1654, 2481, 4962, 10751, 21502, 32253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64506. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64506 is 6.

Also check out the Least Common Multiple of 64500 and 64506