What is the Greatest Common Factor of 48228 and 48240?

Greatest common factor (GCF) of 48228 and 48240 is 12.

GCF(48228,48240) = 12

We will now calculate the prime factors of 48228 and 48240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48228 and 48240.

How to find the GCF of 48228 and 48240?

We will first find the prime factorization of 48228 and 48240. After we will calculate the factors of 48228 and 48240 and find the biggest common factor number .

Step-1: Prime Factorization of 48228

Prime factors of 48228 are 2, 3, 4019. Prime factorization of 48228 in exponential form is:

48228 = 2² × 3¹ × 4019¹

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 48228

List of positive integer factors of 48228 that divides 48228 without a remainder.

1, 2, 3, 4, 6, 12, 4019, 8038, 12057, 16076, 24114

Step-4: Factors of 48240

List of positive integer factors of 48240 that divides 48228 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 48228 and 48240. The biggest common factor number is the GCF number.
So the greatest common factor 48228 and 48240 is 12.

Also check out the Least Common Multiple of 48228 and 48240