What is the Greatest Common Factor of 66830 and 66845?

Greatest common factor (GCF) of 66830 and 66845 is 5.

GCF(66830,66845) = 5

We will now calculate the prime factors of 66830 and 66845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66830 and 66845.

How to find the GCF of 66830 and 66845?

We will first find the prime factorization of 66830 and 66845. After we will calculate the factors of 66830 and 66845 and find the biggest common factor number .

Step-1: Prime Factorization of 66830

Prime factors of 66830 are 2, 5, 41, 163. Prime factorization of 66830 in exponential form is:

66830 = 2¹ × 5¹ × 41¹ × 163¹

Step-2: Prime Factorization of 66845

Prime factors of 66845 are 5, 29, 461. Prime factorization of 66845 in exponential form is:

66845 = 5¹ × 29¹ × 461¹

Step-3: Factors of 66830

List of positive integer factors of 66830 that divides 66830 without a remainder.

1, 2, 5, 10, 41, 82, 163, 205, 326, 410, 815, 1630, 6683, 13366, 33415

Step-4: Factors of 66845

List of positive integer factors of 66845 that divides 66830 without a remainder.

1, 5, 29, 145, 461, 2305, 13369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66830 and 66845. The biggest common factor number is the GCF number.
So the greatest common factor 66830 and 66845 is 5.

Also check out the Least Common Multiple of 66830 and 66845