What is the Greatest Common Factor of 66400 and 66412?

Greatest common factor (GCF) of 66400 and 66412 is 4.

GCF(66400,66412) = 4

We will now calculate the prime factors of 66400 and 66412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66400 and 66412.

How to find the GCF of 66400 and 66412?

We will first find the prime factorization of 66400 and 66412. After we will calculate the factors of 66400 and 66412 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66412

Prime factors of 66412 are 2, 16603. Prime factorization of 66412 in exponential form is:

66412 = 2² × 16603¹

Step-3: Factors of 66400

List of positive integer factors of 66400 that divides 66400 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

Step-4: Factors of 66412

List of positive integer factors of 66412 that divides 66400 without a remainder.

1, 2, 4, 16603, 33206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66400 and 66412. The biggest common factor number is the GCF number.
So the greatest common factor 66400 and 66412 is 4.

Also check out the Least Common Multiple of 66400 and 66412