What is the Greatest Common Factor of 66396 and 66400?

Greatest common factor (GCF) of 66396 and 66400 is 4.

GCF(66396,66400) = 4

We will now calculate the prime factors of 66396 and 66400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66396 and 66400.

How to find the GCF of 66396 and 66400?

We will first find the prime factorization of 66396 and 66400. After we will calculate the factors of 66396 and 66400 and find the biggest common factor number .

Step-1: Prime Factorization of 66396

Prime factors of 66396 are 2, 3, 11, 503. Prime factorization of 66396 in exponential form is:

66396 = 2² × 3¹ × 11¹ × 503¹

Step-2: Prime Factorization of 66400

Prime factors of 66400 are 2, 5, 83. Prime factorization of 66400 in exponential form is:

66400 = 2⁵ × 5² × 83¹

Step-3: Factors of 66396

List of positive integer factors of 66396 that divides 66396 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 503, 1006, 1509, 2012, 3018, 5533, 6036, 11066, 16599, 22132, 33198

Step-4: Factors of 66400

List of positive integer factors of 66400 that divides 66396 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 83, 100, 160, 166, 200, 332, 400, 415, 664, 800, 830, 1328, 1660, 2075, 2656, 3320, 4150, 6640, 8300, 13280, 16600, 33200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66396 and 66400. The biggest common factor number is the GCF number.
So the greatest common factor 66396 and 66400 is 4.

Also check out the Least Common Multiple of 66396 and 66400