What is the Greatest Common Factor of 66500 and 66504?

Greatest common factor (GCF) of 66500 and 66504 is 4.

GCF(66500,66504) = 4

We will now calculate the prime factors of 66500 and 66504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66500 and 66504.

How to find the GCF of 66500 and 66504?

We will first find the prime factorization of 66500 and 66504. After we will calculate the factors of 66500 and 66504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66504

Prime factors of 66504 are 2, 3, 17, 163. Prime factorization of 66504 in exponential form is:

66504 = 2³ × 3¹ × 17¹ × 163¹

Step-3: Factors of 66500

List of positive integer factors of 66500 that divides 66500 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

Step-4: Factors of 66504

List of positive integer factors of 66504 that divides 66500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 163, 204, 326, 408, 489, 652, 978, 1304, 1956, 2771, 3912, 5542, 8313, 11084, 16626, 22168, 33252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66500 and 66504. The biggest common factor number is the GCF number.
So the greatest common factor 66500 and 66504 is 4.

Also check out the Least Common Multiple of 66500 and 66504