What is the Greatest Common Factor of 48240 and 48250?

Greatest common factor (GCF) of 48240 and 48250 is 10.

GCF(48240,48250) = 10

We will now calculate the prime factors of 48240 and 48250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48240 and 48250.

How to find the GCF of 48240 and 48250?

We will first find the prime factorization of 48240 and 48250. After we will calculate the factors of 48240 and 48250 and find the biggest common factor number .

Step-1: Prime Factorization of 48240

Prime factors of 48240 are 2, 3, 5, 67. Prime factorization of 48240 in exponential form is:

48240 = 2⁴ × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 48250

Prime factors of 48250 are 2, 5, 193. Prime factorization of 48250 in exponential form is:

48250 = 2¹ × 5³ × 193¹

Step-3: Factors of 48240

List of positive integer factors of 48240 that divides 48240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 67, 72, 80, 90, 120, 134, 144, 180, 201, 240, 268, 335, 360, 402, 536, 603, 670, 720, 804, 1005, 1072, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 3216, 4020, 4824, 5360, 6030, 8040, 9648, 12060, 16080, 24120

Step-4: Factors of 48250

List of positive integer factors of 48250 that divides 48240 without a remainder.

1, 2, 5, 10, 25, 50, 125, 193, 250, 386, 965, 1930, 4825, 9650, 24125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48240 and 48250. The biggest common factor number is the GCF number.
So the greatest common factor 48240 and 48250 is 10.

Also check out the Least Common Multiple of 48240 and 48250