What is the Greatest Common Factor of 48216 and 48228?

Greatest common factor (GCF) of 48216 and 48228 is 12.

GCF(48216,48228) = 12

We will now calculate the prime factors of 48216 and 48228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48216 and 48228.

How to find the GCF of 48216 and 48228?

We will first find the prime factorization of 48216 and 48228. After we will calculate the factors of 48216 and 48228 and find the biggest common factor number .

Step-1: Prime Factorization of 48216

Prime factors of 48216 are 2, 3, 7, 41. Prime factorization of 48216 in exponential form is:

48216 = 2³ × 3¹ × 7² × 41¹

Step-2: 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-3: Factors of 48216

List of positive integer factors of 48216 that divides 48216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 49, 56, 82, 84, 98, 123, 147, 164, 168, 196, 246, 287, 294, 328, 392, 492, 574, 588, 861, 984, 1148, 1176, 1722, 2009, 2296, 3444, 4018, 6027, 6888, 8036, 12054, 16072, 24108

Step-4: Factors of 48228

List of positive integer factors of 48228 that divides 48216 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48216 and 48228. The biggest common factor number is the GCF number.
So the greatest common factor 48216 and 48228 is 12.

Also check out the Least Common Multiple of 48216 and 48228