What is the Greatest Common Factor of 78228 and 78240?

Greatest common factor (GCF) of 78228 and 78240 is 12.

GCF(78228,78240) = 12

We will now calculate the prime factors of 78228 and 78240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78228 and 78240.

How to find the GCF of 78228 and 78240?

We will first find the prime factorization of 78228 and 78240. After we will calculate the factors of 78228 and 78240 and find the biggest common factor number .

Step-1: Prime Factorization of 78228

Prime factors of 78228 are 2, 3, 41, 53. Prime factorization of 78228 in exponential form is:

78228 = 2² × 3² × 41¹ × 53¹

Step-2: Prime Factorization of 78240

Prime factors of 78240 are 2, 3, 5, 163. Prime factorization of 78240 in exponential form is:

78240 = 2⁵ × 3¹ × 5¹ × 163¹

Step-3: Factors of 78228

List of positive integer factors of 78228 that divides 78228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 53, 82, 106, 123, 159, 164, 212, 246, 318, 369, 477, 492, 636, 738, 954, 1476, 1908, 2173, 4346, 6519, 8692, 13038, 19557, 26076, 39114

Step-4: Factors of 78240

List of positive integer factors of 78240 that divides 78228 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 163, 240, 326, 480, 489, 652, 815, 978, 1304, 1630, 1956, 2445, 2608, 3260, 3912, 4890, 5216, 6520, 7824, 9780, 13040, 15648, 19560, 26080, 39120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78228 and 78240. The biggest common factor number is the GCF number.
So the greatest common factor 78228 and 78240 is 12.

Also check out the Least Common Multiple of 78228 and 78240