What is the Greatest Common Factor of 66496 and 66500?

Greatest common factor (GCF) of 66496 and 66500 is 4.

GCF(66496,66500) = 4

We will now calculate the prime factors of 66496 and 66500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66496 and 66500.

How to find the GCF of 66496 and 66500?

We will first find the prime factorization of 66496 and 66500. After we will calculate the factors of 66496 and 66500 and find the biggest common factor number .

Step-1: Prime Factorization of 66496

Prime factors of 66496 are 2, 1039. Prime factorization of 66496 in exponential form is:

66496 = 2⁶ × 1039¹

Step-2: Prime Factorization of 66500

Prime factors of 66500 are 2, 5, 7, 19. Prime factorization of 66500 in exponential form is:

66500 = 2² × 5³ × 7¹ × 19¹

Step-3: Factors of 66496

List of positive integer factors of 66496 that divides 66496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1039, 2078, 4156, 8312, 16624, 33248

Step-4: Factors of 66500

List of positive integer factors of 66500 that divides 66496 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 50, 70, 76, 95, 100, 125, 133, 140, 175, 190, 250, 266, 350, 380, 475, 500, 532, 665, 700, 875, 950, 1330, 1750, 1900, 2375, 2660, 3325, 3500, 4750, 6650, 9500, 13300, 16625, 33250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66496 and 66500. The biggest common factor number is the GCF number.
So the greatest common factor 66496 and 66500 is 4.

Also check out the Least Common Multiple of 66496 and 66500