What is the Greatest Common Factor of 78240 and 78256?

Greatest common factor (GCF) of 78240 and 78256 is 16.

GCF(78240,78256) = 16

We will now calculate the prime factors of 78240 and 78256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78240 and 78256.

How to find the GCF of 78240 and 78256?

We will first find the prime factorization of 78240 and 78256. After we will calculate the factors of 78240 and 78256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78256

Prime factors of 78256 are 2, 67, 73. Prime factorization of 78256 in exponential form is:

78256 = 2⁴ × 67¹ × 73¹

Step-3: Factors of 78240

List of positive integer factors of 78240 that divides 78240 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

Step-4: Factors of 78256

List of positive integer factors of 78256 that divides 78240 without a remainder.

1, 2, 4, 8, 16, 67, 73, 134, 146, 268, 292, 536, 584, 1072, 1168, 4891, 9782, 19564, 39128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78240 and 78256. The biggest common factor number is the GCF number.
So the greatest common factor 78240 and 78256 is 16.

Also check out the Least Common Multiple of 78240 and 78256