What is the Greatest Common Factor of 4214 and 4224?

Greatest common factor (GCF) of 4214 and 4224 is 2.

GCF(4214,4224) = 2

We will now calculate the prime factors of 4214 and 4224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4214 and 4224.

How to find the GCF of 4214 and 4224?

We will first find the prime factorization of 4214 and 4224. After we will calculate the factors of 4214 and 4224 and find the biggest common factor number .

Step-1: Prime Factorization of 4214

Prime factors of 4214 are 2, 7, 43. Prime factorization of 4214 in exponential form is:

4214 = 2¹ × 7² × 43¹

Step-2: Prime Factorization of 4224

Prime factors of 4224 are 2, 3, 11. Prime factorization of 4224 in exponential form is:

4224 = 2⁷ × 3¹ × 11¹

Step-3: Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107

Step-4: Factors of 4224

List of positive integer factors of 4224 that divides 4214 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4214 and 4224. The biggest common factor number is the GCF number.
So the greatest common factor 4214 and 4224 is 2.

Also check out the Least Common Multiple of 4214 and 4224