What is the Greatest Common Factor of 66222 and 66238?

Greatest common factor (GCF) of 66222 and 66238 is 2.

GCF(66222,66238) = 2

We will now calculate the prime factors of 66222 and 66238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66222 and 66238.

How to find the GCF of 66222 and 66238?

We will first find the prime factorization of 66222 and 66238. After we will calculate the factors of 66222 and 66238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66238

Prime factors of 66238 are 2, 33119. Prime factorization of 66238 in exponential form is:

66238 = 2¹ × 33119¹

Step-3: Factors of 66222

List of positive integer factors of 66222 that divides 66222 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

Step-4: Factors of 66238

List of positive integer factors of 66238 that divides 66222 without a remainder.

1, 2, 33119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66222 and 66238. The biggest common factor number is the GCF number.
So the greatest common factor 66222 and 66238 is 2.

Also check out the Least Common Multiple of 66222 and 66238