What is the Greatest Common Factor of 78240 and 78260?

Greatest common factor (GCF) of 78240 and 78260 is 20.

GCF(78240,78260) = 20

We will now calculate the prime factors of 78240 and 78260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78240 and 78260.

How to find the GCF of 78240 and 78260?

We will first find the prime factorization of 78240 and 78260. After we will calculate the factors of 78240 and 78260 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 78260

Prime factors of 78260 are 2, 5, 7, 13, 43. Prime factorization of 78260 in exponential form is:

78260 = 2² × 5¹ × 7¹ × 13¹ × 43¹

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 78260

List of positive integer factors of 78260 that divides 78240 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 43, 52, 65, 70, 86, 91, 130, 140, 172, 182, 215, 260, 301, 364, 430, 455, 559, 602, 860, 910, 1118, 1204, 1505, 1820, 2236, 2795, 3010, 3913, 5590, 6020, 7826, 11180, 15652, 19565, 39130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78240 and 78260. The biggest common factor number is the GCF number.
So the greatest common factor 78240 and 78260 is 20.

Also check out the Least Common Multiple of 78240 and 78260