What is the Greatest Common Factor of 30214 and 30222?

Greatest common factor (GCF) of 30214 and 30222 is 2.

GCF(30214,30222) = 2

We will now calculate the prime factors of 30214 and 30222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30214 and 30222.

How to find the GCF of 30214 and 30222?

We will first find the prime factorization of 30214 and 30222. After we will calculate the factors of 30214 and 30222 and find the biggest common factor number .

Step-1: Prime Factorization of 30214

Prime factors of 30214 are 2, 15107. Prime factorization of 30214 in exponential form is:

30214 = 2¹ × 15107¹

Step-2: Prime Factorization of 30222

Prime factors of 30222 are 2, 3, 23, 73. Prime factorization of 30222 in exponential form is:

30222 = 2¹ × 3² × 23¹ × 73¹

Step-3: Factors of 30214

List of positive integer factors of 30214 that divides 30214 without a remainder.

1, 2, 15107

Step-4: Factors of 30222

List of positive integer factors of 30222 that divides 30214 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 73, 138, 146, 207, 219, 414, 438, 657, 1314, 1679, 3358, 5037, 10074, 15111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30214 and 30222. The biggest common factor number is the GCF number.
So the greatest common factor 30214 and 30222 is 2.

Also check out the Least Common Multiple of 30214 and 30222