What is the Greatest Common Factor of 84214 and 84223?

Greatest common factor (GCF) of 84214 and 84223 is 1.

GCF(84214,84223) = 1

We will now calculate the prime factors of 84214 and 84223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84214 and 84223.

How to find the GCF of 84214 and 84223?

We will first find the prime factorization of 84214 and 84223. After we will calculate the factors of 84214 and 84223 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 84223

Prime factors of 84223 are 84223. Prime factorization of 84223 in exponential form is:

84223 = 84223¹

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 84223

List of positive integer factors of 84223 that divides 84214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84214 and 84223. The biggest common factor number is the GCF number.
So the greatest common factor 84214 and 84223 is 1.

Also check out the Least Common Multiple of 84214 and 84223