What is the Greatest Common Factor of 64500 and 64516?

Greatest common factor (GCF) of 64500 and 64516 is 4.

GCF(64500,64516) = 4

We will now calculate the prime factors of 64500 and 64516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64516.

How to find the GCF of 64500 and 64516?

We will first find the prime factorization of 64500 and 64516. After we will calculate the factors of 64500 and 64516 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 64516

Prime factors of 64516 are 2, 127. Prime factorization of 64516 in exponential form is:

64516 = 2² × 127²

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 64516

List of positive integer factors of 64516 that divides 64500 without a remainder.

1, 2, 4, 127, 254, 508, 16129, 32258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64516. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64516 is 4.

Also check out the Least Common Multiple of 64500 and 64516