What is the Greatest Common Factor of 28224 and 28238?

Greatest common factor (GCF) of 28224 and 28238 is 14.

GCF(28224,28238) = 14

We will now calculate the prime factors of 28224 and 28238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28224 and 28238.

How to find the GCF of 28224 and 28238?

We will first find the prime factorization of 28224 and 28238. After we will calculate the factors of 28224 and 28238 and find the biggest common factor number .

Step-1: Prime Factorization of 28224

Prime factors of 28224 are 2, 3, 7. Prime factorization of 28224 in exponential form is:

28224 = 2⁶ × 3² × 7²

Step-2: Prime Factorization of 28238

Prime factors of 28238 are 2, 7, 2017. Prime factorization of 28238 in exponential form is:

28238 = 2¹ × 7¹ × 2017¹

Step-3: Factors of 28224

List of positive integer factors of 28224 that divides 28224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 64, 72, 84, 96, 98, 112, 126, 144, 147, 168, 192, 196, 224, 252, 288, 294, 336, 392, 441, 448, 504, 576, 588, 672, 784, 882, 1008, 1176, 1344, 1568, 1764, 2016, 2352, 3136, 3528, 4032, 4704, 7056, 9408, 14112

Step-4: Factors of 28238

List of positive integer factors of 28238 that divides 28224 without a remainder.

1, 2, 7, 14, 2017, 4034, 14119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28224 and 28238. The biggest common factor number is the GCF number.
So the greatest common factor 28224 and 28238 is 14.

Also check out the Least Common Multiple of 28224 and 28238