What is the Greatest Common Factor of 84214 and 84230?

Greatest common factor (GCF) of 84214 and 84230 is 2.

GCF(84214,84230) = 2

We will now calculate the prime factors of 84214 and 84230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84214 and 84230.

How to find the GCF of 84214 and 84230?

We will first find the prime factorization of 84214 and 84230. After we will calculate the factors of 84214 and 84230 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 84230

Prime factors of 84230 are 2, 5, 8423. Prime factorization of 84230 in exponential form is:

84230 = 2¹ × 5¹ × 8423¹

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 84230

List of positive integer factors of 84230 that divides 84214 without a remainder.

1, 2, 5, 10, 8423, 16846, 42115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84214 and 84230. The biggest common factor number is the GCF number.
So the greatest common factor 84214 and 84230 is 2.

Also check out the Least Common Multiple of 84214 and 84230