What is the Greatest Common Factor of 28224 and 28244?

Greatest common factor (GCF) of 28224 and 28244 is 4.

GCF(28224,28244) = 4

We will now calculate the prime factors of 28224 and 28244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28224 and 28244.

How to find the GCF of 28224 and 28244?

We will first find the prime factorization of 28224 and 28244. After we will calculate the factors of 28224 and 28244 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 28244

Prime factors of 28244 are 2, 23, 307. Prime factorization of 28244 in exponential form is:

28244 = 2² × 23¹ × 307¹

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 28244

List of positive integer factors of 28244 that divides 28224 without a remainder.

1, 2, 4, 23, 46, 92, 307, 614, 1228, 7061, 14122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28224 and 28244. The biggest common factor number is the GCF number.
So the greatest common factor 28224 and 28244 is 4.

Also check out the Least Common Multiple of 28224 and 28244