What is the Greatest Common Factor of 66785 and 66800?

Greatest common factor (GCF) of 66785 and 66800 is 5.

GCF(66785,66800) = 5

We will now calculate the prime factors of 66785 and 66800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66785 and 66800.

How to find the GCF of 66785 and 66800?

We will first find the prime factorization of 66785 and 66800. After we will calculate the factors of 66785 and 66800 and find the biggest common factor number .

Step-1: Prime Factorization of 66785

Prime factors of 66785 are 5, 19, 37. Prime factorization of 66785 in exponential form is:

66785 = 5¹ × 19² × 37¹

Step-2: Prime Factorization of 66800

Prime factors of 66800 are 2, 5, 167. Prime factorization of 66800 in exponential form is:

66800 = 2⁴ × 5² × 167¹

Step-3: Factors of 66785

List of positive integer factors of 66785 that divides 66785 without a remainder.

1, 5, 19, 37, 95, 185, 361, 703, 1805, 3515, 13357

Step-4: Factors of 66800

List of positive integer factors of 66800 that divides 66785 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 167, 200, 334, 400, 668, 835, 1336, 1670, 2672, 3340, 4175, 6680, 8350, 13360, 16700, 33400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66785 and 66800. The biggest common factor number is the GCF number.
So the greatest common factor 66785 and 66800 is 5.

Also check out the Least Common Multiple of 66785 and 66800