What is the Greatest Common Factor of 43214 and 43228?

Greatest common factor (GCF) of 43214 and 43228 is 2.

GCF(43214,43228) = 2

We will now calculate the prime factors of 43214 and 43228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43214 and 43228.

How to find the GCF of 43214 and 43228?

We will first find the prime factorization of 43214 and 43228. After we will calculate the factors of 43214 and 43228 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 43228

Prime factors of 43228 are 2, 101, 107. Prime factorization of 43228 in exponential form is:

43228 = 2² × 101¹ × 107¹

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 43228

List of positive integer factors of 43228 that divides 43214 without a remainder.

1, 2, 4, 101, 107, 202, 214, 404, 428, 10807, 21614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43214 and 43228. The biggest common factor number is the GCF number.
So the greatest common factor 43214 and 43228 is 2.

Also check out the Least Common Multiple of 43214 and 43228