What is the Greatest Common Factor of 84222 and 84236?

Greatest common factor (GCF) of 84222 and 84236 is 2.

GCF(84222,84236) = 2

We will now calculate the prime factors of 84222 and 84236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84222 and 84236.

How to find the GCF of 84222 and 84236?

We will first find the prime factorization of 84222 and 84236. After we will calculate the factors of 84222 and 84236 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 84236

Prime factors of 84236 are 2, 21059. Prime factorization of 84236 in exponential form is:

84236 = 2² × 21059¹

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 84236

List of positive integer factors of 84236 that divides 84222 without a remainder.

1, 2, 4, 21059, 42118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84222 and 84236. The biggest common factor number is the GCF number.
So the greatest common factor 84222 and 84236 is 2.

Also check out the Least Common Multiple of 84222 and 84236