What is the Greatest Common Factor of 84214 and 84218?

Greatest common factor (GCF) of 84214 and 84218 is 2.

GCF(84214,84218) = 2

We will now calculate the prime factors of 84214 and 84218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84214 and 84218.

How to find the GCF of 84214 and 84218?

We will first find the prime factorization of 84214 and 84218. After we will calculate the factors of 84214 and 84218 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 84218

Prime factors of 84218 are 2, 17, 2477. Prime factorization of 84218 in exponential form is:

84218 = 2¹ × 17¹ × 2477¹

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 84218

List of positive integer factors of 84218 that divides 84214 without a remainder.

1, 2, 17, 34, 2477, 4954, 42109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84214 and 84218. The biggest common factor number is the GCF number.
So the greatest common factor 84214 and 84218 is 2.

Also check out the Least Common Multiple of 84214 and 84218