What is the Greatest Common Factor of 84224 and 84240?

Greatest common factor (GCF) of 84224 and 84240 is 16.

GCF(84224,84240) = 16

We will now calculate the prime factors of 84224 and 84240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84224 and 84240.

How to find the GCF of 84224 and 84240?

We will first find the prime factorization of 84224 and 84240. After we will calculate the factors of 84224 and 84240 and find the biggest common factor number .

Step-1: Prime Factorization of 84224

Prime factors of 84224 are 2, 7, 47. Prime factorization of 84224 in exponential form is:

84224 = 2⁸ × 7¹ × 47¹

Step-2: Prime Factorization of 84240

Prime factors of 84240 are 2, 3, 5, 13. Prime factorization of 84240 in exponential form is:

84240 = 2⁴ × 3⁴ × 5¹ × 13¹

Step-3: Factors of 84224

List of positive integer factors of 84224 that divides 84224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188, 224, 256, 329, 376, 448, 658, 752, 896, 1316, 1504, 1792, 2632, 3008, 5264, 6016, 10528, 12032, 21056, 42112

Step-4: Factors of 84240

List of positive integer factors of 84240 that divides 84224 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 81, 90, 104, 108, 117, 120, 130, 135, 144, 156, 162, 180, 195, 208, 216, 234, 240, 260, 270, 312, 324, 351, 360, 390, 405, 432, 468, 520, 540, 585, 624, 648, 702, 720, 780, 810, 936, 1040, 1053, 1080, 1170, 1296, 1404, 1560, 1620, 1755, 1872, 2106, 2160, 2340, 2808, 3120, 3240, 3510, 4212, 4680, 5265, 5616, 6480, 7020, 8424, 9360, 10530, 14040, 16848, 21060, 28080, 42120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84224 and 84240. The biggest common factor number is the GCF number.
So the greatest common factor 84224 and 84240 is 16.

Also check out the Least Common Multiple of 84224 and 84240