What is the Greatest Common Factor of 64488 and 64500?

Greatest common factor (GCF) of 64488 and 64500 is 12.

GCF(64488,64500) = 12

We will now calculate the prime factors of 64488 and 64500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64488 and 64500.

How to find the GCF of 64488 and 64500?

We will first find the prime factorization of 64488 and 64500. After we will calculate the factors of 64488 and 64500 and find the biggest common factor number .

Step-1: Prime Factorization of 64488

Prime factors of 64488 are 2, 3, 2687. Prime factorization of 64488 in exponential form is:

64488 = 2³ × 3¹ × 2687¹

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 64488

List of positive integer factors of 64488 that divides 64488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2687, 5374, 8061, 10748, 16122, 21496, 32244

Step-4: Factors of 64500

List of positive integer factors of 64500 that divides 64488 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 64488 and 64500. The biggest common factor number is the GCF number.
So the greatest common factor 64488 and 64500 is 12.

Also check out the Least Common Multiple of 64488 and 64500