What is the Greatest Common Factor of 48228 and 48246?

Greatest common factor (GCF) of 48228 and 48246 is 6.

GCF(48228,48246) = 6

We will now calculate the prime factors of 48228 and 48246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48228 and 48246.

How to find the GCF of 48228 and 48246?

We will first find the prime factorization of 48228 and 48246. After we will calculate the factors of 48228 and 48246 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 48246

Prime factors of 48246 are 2, 3, 11, 17, 43. Prime factorization of 48246 in exponential form is:

48246 = 2¹ × 3¹ × 11¹ × 17¹ × 43¹

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 48246

List of positive integer factors of 48246 that divides 48228 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 43, 51, 66, 86, 102, 129, 187, 258, 374, 473, 561, 731, 946, 1122, 1419, 1462, 2193, 2838, 4386, 8041, 16082, 24123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48228 and 48246. The biggest common factor number is the GCF number.
So the greatest common factor 48228 and 48246 is 6.

Also check out the Least Common Multiple of 48228 and 48246