What is the Greatest Common Factor of 78230 and 78240?

Greatest common factor (GCF) of 78230 and 78240 is 10.

GCF(78230,78240) = 10

We will now calculate the prime factors of 78230 and 78240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78230 and 78240.

How to find the GCF of 78230 and 78240?

We will first find the prime factorization of 78230 and 78240. After we will calculate the factors of 78230 and 78240 and find the biggest common factor number .

Step-1: Prime Factorization of 78230

Prime factors of 78230 are 2, 5, 7823. Prime factorization of 78230 in exponential form is:

78230 = 2¹ × 5¹ × 7823¹

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 78230

List of positive integer factors of 78230 that divides 78230 without a remainder.

1, 2, 5, 10, 7823, 15646, 39115

Step-4: Factors of 78240

List of positive integer factors of 78240 that divides 78230 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 78230 and 78240. The biggest common factor number is the GCF number.
So the greatest common factor 78230 and 78240 is 10.

Also check out the Least Common Multiple of 78230 and 78240