What is the Greatest Common Factor of 84222 and 84238?

Greatest common factor (GCF) of 84222 and 84238 is 2.

GCF(84222,84238) = 2

We will now calculate the prime factors of 84222 and 84238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84222 and 84238.

How to find the GCF of 84222 and 84238?

We will first find the prime factorization of 84222 and 84238. After we will calculate the factors of 84222 and 84238 and find the biggest common factor number .

Step-1: Prime Factorization of 84222

Prime factors of 84222 are 2, 3, 4679. Prime factorization of 84222 in exponential form is:

84222 = 2¹ × 3² × 4679¹

Step-2: Prime Factorization of 84238

Prime factors of 84238 are 2, 7, 11, 547. Prime factorization of 84238 in exponential form is:

84238 = 2¹ × 7¹ × 11¹ × 547¹

Step-3: Factors of 84222

List of positive integer factors of 84222 that divides 84222 without a remainder.

1, 2, 3, 6, 9, 18, 4679, 9358, 14037, 28074, 42111

Step-4: Factors of 84238

List of positive integer factors of 84238 that divides 84222 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 547, 1094, 3829, 6017, 7658, 12034, 42119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84222 and 84238. The biggest common factor number is the GCF number.
So the greatest common factor 84222 and 84238 is 2.

Also check out the Least Common Multiple of 84222 and 84238