What is the Greatest Common Factor of 48234 and 48240?

Greatest common factor (GCF) of 48234 and 48240 is 6.

GCF(48234,48240) = 6

We will now calculate the prime factors of 48234 and 48240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48234 and 48240.

How to find the GCF of 48234 and 48240?

We will first find the prime factorization of 48234 and 48240. After we will calculate the factors of 48234 and 48240 and find the biggest common factor number .

Step-1: Prime Factorization of 48234

Prime factors of 48234 are 2, 3, 8039. Prime factorization of 48234 in exponential form is:

48234 = 2¹ × 3¹ × 8039¹

Step-2: 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-3: Factors of 48234

List of positive integer factors of 48234 that divides 48234 without a remainder.

1, 2, 3, 6, 8039, 16078, 24117

Step-4: Factors of 48240

List of positive integer factors of 48240 that divides 48234 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48234 and 48240. The biggest common factor number is the GCF number.
So the greatest common factor 48234 and 48240 is 6.

Also check out the Least Common Multiple of 48234 and 48240