What is the Greatest Common Factor of 64496 and 64500?

Greatest common factor (GCF) of 64496 and 64500 is 4.

GCF(64496,64500) = 4

We will now calculate the prime factors of 64496 and 64500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64496 and 64500.

How to find the GCF of 64496 and 64500?

We will first find the prime factorization of 64496 and 64500. After we will calculate the factors of 64496 and 64500 and find the biggest common factor number .

Step-1: Prime Factorization of 64496

Prime factors of 64496 are 2, 29, 139. Prime factorization of 64496 in exponential form is:

64496 = 2⁴ × 29¹ × 139¹

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 64496

List of positive integer factors of 64496 that divides 64496 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 139, 232, 278, 464, 556, 1112, 2224, 4031, 8062, 16124, 32248

Step-4: Factors of 64500

List of positive integer factors of 64500 that divides 64496 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 64496 and 64500. The biggest common factor number is the GCF number.
So the greatest common factor 64496 and 64500 is 4.

Also check out the Least Common Multiple of 64496 and 64500