What is the Greatest Common Factor of 66500 and 66514?

Greatest common factor (GCF) of 66500 and 66514 is 14.

GCF(66500,66514) = 14

We will now calculate the prime factors of 66500 and 66514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66500 and 66514.

How to find the GCF of 66500 and 66514?

We will first find the prime factorization of 66500 and 66514. After we will calculate the factors of 66500 and 66514 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 66514

Prime factors of 66514 are 2, 7, 4751. Prime factorization of 66514 in exponential form is:

66514 = 2¹ × 7¹ × 4751¹

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 66514

List of positive integer factors of 66514 that divides 66500 without a remainder.

1, 2, 7, 14, 4751, 9502, 33257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66500 and 66514. The biggest common factor number is the GCF number.
So the greatest common factor 66500 and 66514 is 14.

Also check out the Least Common Multiple of 66500 and 66514