What is the Greatest Common Factor of 43214 and 43224?

Greatest common factor (GCF) of 43214 and 43224 is 2.

GCF(43214,43224) = 2

We will now calculate the prime factors of 43214 and 43224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43214 and 43224.

How to find the GCF of 43214 and 43224?

We will first find the prime factorization of 43214 and 43224. After we will calculate the factors of 43214 and 43224 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 43224

Prime factors of 43224 are 2, 3, 1801. Prime factorization of 43224 in exponential form is:

43224 = 2³ × 3¹ × 1801¹

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 43224

List of positive integer factors of 43224 that divides 43214 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1801, 3602, 5403, 7204, 10806, 14408, 21612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43214 and 43224. The biggest common factor number is the GCF number.
So the greatest common factor 43214 and 43224 is 2.

Also check out the Least Common Multiple of 43214 and 43224