What is the Greatest Common Factor of 28224 and 28242?

Greatest common factor (GCF) of 28224 and 28242 is 18.

GCF(28224,28242) = 18

We will now calculate the prime factors of 28224 and 28242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28224 and 28242.

How to find the GCF of 28224 and 28242?

We will first find the prime factorization of 28224 and 28242. After we will calculate the factors of 28224 and 28242 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 28242

Prime factors of 28242 are 2, 3, 523. Prime factorization of 28242 in exponential form is:

28242 = 2¹ × 3³ × 523¹

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 28242

List of positive integer factors of 28242 that divides 28224 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 523, 1046, 1569, 3138, 4707, 9414, 14121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28224 and 28242. The biggest common factor number is the GCF number.
So the greatest common factor 28224 and 28242 is 18.

Also check out the Least Common Multiple of 28224 and 28242