What is the Greatest Common Factor of 66214 and 66222?

Greatest common factor (GCF) of 66214 and 66222 is 2.

GCF(66214,66222) = 2

We will now calculate the prime factors of 66214 and 66222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66214 and 66222.

How to find the GCF of 66214 and 66222?

We will first find the prime factorization of 66214 and 66222. After we will calculate the factors of 66214 and 66222 and find the biggest common factor number .

Step-1: Prime Factorization of 66214

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

66214 = 2¹ × 33107¹

Step-2: Prime Factorization of 66222

Prime factors of 66222 are 2, 3, 13, 283. Prime factorization of 66222 in exponential form is:

66222 = 2¹ × 3² × 13¹ × 283¹

Step-3: Factors of 66214

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

1, 2, 33107

Step-4: Factors of 66222

List of positive integer factors of 66222 that divides 66214 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 283, 566, 849, 1698, 2547, 3679, 5094, 7358, 11037, 22074, 33111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66214 and 66222. The biggest common factor number is the GCF number.
So the greatest common factor 66214 and 66222 is 2.

Also check out the Least Common Multiple of 66214 and 66222