What is the Greatest Common Factor of 43214 and 43223?

Greatest common factor (GCF) of 43214 and 43223 is 1.

GCF(43214,43223) = 1

We will now calculate the prime factors of 43214 and 43223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43214 and 43223.

How to find the GCF of 43214 and 43223?

We will first find the prime factorization of 43214 and 43223. After we will calculate the factors of 43214 and 43223 and find the biggest common factor number .

Step-1: Prime Factorization of 43214

Prime factors of 43214 are 2, 17, 31, 41. Prime factorization of 43214 in exponential form is:

43214 = 2¹ × 17¹ × 31¹ × 41¹

Step-2: Prime Factorization of 43223

Prime factors of 43223 are 43223. Prime factorization of 43223 in exponential form is:

43223 = 43223¹

Step-3: Factors of 43214

List of positive integer factors of 43214 that divides 43214 without a remainder.

1, 2, 17, 31, 34, 41, 62, 82, 527, 697, 1054, 1271, 1394, 2542, 21607

Step-4: Factors of 43223

List of positive integer factors of 43223 that divides 43214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43214 and 43223. The biggest common factor number is the GCF number.
So the greatest common factor 43214 and 43223 is 1.

Also check out the Least Common Multiple of 43214 and 43223