What is the Greatest Common Factor of 66200 and 66214?

Greatest common factor (GCF) of 66200 and 66214 is 2.

GCF(66200,66214) = 2

We will now calculate the prime factors of 66200 and 66214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66200 and 66214.

How to find the GCF of 66200 and 66214?

We will first find the prime factorization of 66200 and 66214. After we will calculate the factors of 66200 and 66214 and find the biggest common factor number .

Step-1: Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 2³ × 5² × 331¹

Step-2: Prime Factorization of 66214

Prime factors of 66214 are 2, 33107. Prime factorization of 66214 in exponential form is:

66214 = 2¹ × 33107¹

Step-3: Factors of 66200

List of positive integer factors of 66200 that divides 66200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 331, 662, 1324, 1655, 2648, 3310, 6620, 8275, 13240, 16550, 33100

Step-4: Factors of 66214

List of positive integer factors of 66214 that divides 66200 without a remainder.

1, 2, 33107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66200 and 66214. The biggest common factor number is the GCF number.
So the greatest common factor 66200 and 66214 is 2.

Also check out the Least Common Multiple of 66200 and 66214