What is the Greatest Common Factor of 66784 and 66800?

Greatest common factor (GCF) of 66784 and 66800 is 16.

GCF(66784,66800) = 16

We will now calculate the prime factors of 66784 and 66800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66784 and 66800.

How to find the GCF of 66784 and 66800?

We will first find the prime factorization of 66784 and 66800. After we will calculate the factors of 66784 and 66800 and find the biggest common factor number .

Step-1: Prime Factorization of 66784

Prime factors of 66784 are 2, 2087. Prime factorization of 66784 in exponential form is:

66784 = 2⁵ × 2087¹

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 66784

List of positive integer factors of 66784 that divides 66784 without a remainder.

1, 2, 4, 8, 16, 32, 2087, 4174, 8348, 16696, 33392

Step-4: Factors of 66800

List of positive integer factors of 66800 that divides 66784 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 66784 and 66800. The biggest common factor number is the GCF number.
So the greatest common factor 66784 and 66800 is 16.

Also check out the Least Common Multiple of 66784 and 66800