What is the Greatest Common Factor of 66500 and 66512?

Greatest common factor (GCF) of 66500 and 66512 is 4.

GCF(66500,66512) = 4

We will now calculate the prime factors of 66500 and 66512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66500 and 66512.

How to find the GCF of 66500 and 66512?

We will first find the prime factorization of 66500 and 66512. After we will calculate the factors of 66500 and 66512 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 66512

Prime factors of 66512 are 2, 4157. Prime factorization of 66512 in exponential form is:

66512 = 2⁴ × 4157¹

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 66512

List of positive integer factors of 66512 that divides 66500 without a remainder.

1, 2, 4, 8, 16, 4157, 8314, 16628, 33256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66500 and 66512. The biggest common factor number is the GCF number.
So the greatest common factor 66500 and 66512 is 4.

Also check out the Least Common Multiple of 66500 and 66512