What is the Greatest Common Factor of 84240 and 84249?

Greatest common factor (GCF) of 84240 and 84249 is 9.

GCF(84240,84249) = 9

We will now calculate the prime factors of 84240 and 84249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84240 and 84249.

How to find the GCF of 84240 and 84249?

We will first find the prime factorization of 84240 and 84249. After we will calculate the factors of 84240 and 84249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84249

Prime factors of 84249 are 3, 11, 23, 37. Prime factorization of 84249 in exponential form is:

84249 = 3² × 11¹ × 23¹ × 37¹

Step-3: Factors of 84240

List of positive integer factors of 84240 that divides 84240 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

Step-4: Factors of 84249

List of positive integer factors of 84249 that divides 84240 without a remainder.

1, 3, 9, 11, 23, 33, 37, 69, 99, 111, 207, 253, 333, 407, 759, 851, 1221, 2277, 2553, 3663, 7659, 9361, 28083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84240 and 84249. The biggest common factor number is the GCF number.
So the greatest common factor 84240 and 84249 is 9.

Also check out the Least Common Multiple of 84240 and 84249