What is the Greatest Common Factor of 66500 and 66505?

Greatest common factor (GCF) of 66500 and 66505 is 5.

GCF(66500,66505) = 5

We will now calculate the prime factors of 66500 and 66505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66500 and 66505.

How to find the GCF of 66500 and 66505?

We will first find the prime factorization of 66500 and 66505. After we will calculate the factors of 66500 and 66505 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 66505

Prime factors of 66505 are 5, 47, 283. Prime factorization of 66505 in exponential form is:

66505 = 5¹ × 47¹ × 283¹

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 66505

List of positive integer factors of 66505 that divides 66500 without a remainder.

1, 5, 47, 235, 283, 1415, 13301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66500 and 66505. The biggest common factor number is the GCF number.
So the greatest common factor 66500 and 66505 is 5.

Also check out the Least Common Multiple of 66500 and 66505