What is the Greatest Common Factor of 84214 and 84227?

Greatest common factor (GCF) of 84214 and 84227 is 13.

GCF(84214,84227) = 13

We will now calculate the prime factors of 84214 and 84227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84214 and 84227.

How to find the GCF of 84214 and 84227?

We will first find the prime factorization of 84214 and 84227. After we will calculate the factors of 84214 and 84227 and find the biggest common factor number .

Step-1: Prime Factorization of 84214

Prime factors of 84214 are 2, 13, 41, 79. Prime factorization of 84214 in exponential form is:

84214 = 2¹ × 13¹ × 41¹ × 79¹

Step-2: Prime Factorization of 84227

Prime factors of 84227 are 11, 13, 19, 31. Prime factorization of 84227 in exponential form is:

84227 = 11¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 84214

List of positive integer factors of 84214 that divides 84214 without a remainder.

1, 2, 13, 26, 41, 79, 82, 158, 533, 1027, 1066, 2054, 3239, 6478, 42107

Step-4: Factors of 84227

List of positive integer factors of 84227 that divides 84214 without a remainder.

1, 11, 13, 19, 31, 143, 209, 247, 341, 403, 589, 2717, 4433, 6479, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84214 and 84227. The biggest common factor number is the GCF number.
So the greatest common factor 84214 and 84227 is 13.

Also check out the Least Common Multiple of 84214 and 84227