What is the Greatest Common Factor of 64500 and 64510?

Greatest common factor (GCF) of 64500 and 64510 is 10.

GCF(64500,64510) = 10

We will now calculate the prime factors of 64500 and 64510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64510.

How to find the GCF of 64500 and 64510?

We will first find the prime factorization of 64500 and 64510. After we will calculate the factors of 64500 and 64510 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 64510

Prime factors of 64510 are 2, 5, 6451. Prime factorization of 64510 in exponential form is:

64510 = 2¹ × 5¹ × 6451¹

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 64510

List of positive integer factors of 64510 that divides 64500 without a remainder.

1, 2, 5, 10, 6451, 12902, 32255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64510. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64510 is 10.

Also check out the Least Common Multiple of 64500 and 64510