What is the Greatest Common Factor of 84240 and 84250?

Greatest common factor (GCF) of 84240 and 84250 is 10.

GCF(84240,84250) = 10

We will now calculate the prime factors of 84240 and 84250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84240 and 84250.

How to find the GCF of 84240 and 84250?

We will first find the prime factorization of 84240 and 84250. After we will calculate the factors of 84240 and 84250 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 84250

Prime factors of 84250 are 2, 5, 337. Prime factorization of 84250 in exponential form is:

84250 = 2¹ × 5³ × 337¹

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 84250

List of positive integer factors of 84250 that divides 84240 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 337, 674, 1685, 3370, 8425, 16850, 42125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84240 and 84250. The biggest common factor number is the GCF number.
So the greatest common factor 84240 and 84250 is 10.

Also check out the Least Common Multiple of 84240 and 84250