What is the Greatest Common Factor of 78260 and 78273?

Greatest common factor (GCF) of 78260 and 78273 is 13.

GCF(78260,78273) = 13

We will now calculate the prime factors of 78260 and 78273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78260 and 78273.

How to find the GCF of 78260 and 78273?

We will first find the prime factorization of 78260 and 78273. After we will calculate the factors of 78260 and 78273 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78273

Prime factors of 78273 are 3, 13, 223. Prime factorization of 78273 in exponential form is:

78273 = 3³ × 13¹ × 223¹

Step-3: Factors of 78260

List of positive integer factors of 78260 that divides 78260 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

Step-4: Factors of 78273

List of positive integer factors of 78273 that divides 78260 without a remainder.

1, 3, 9, 13, 27, 39, 117, 223, 351, 669, 2007, 2899, 6021, 8697, 26091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78260 and 78273. The biggest common factor number is the GCF number.
So the greatest common factor 78260 and 78273 is 13.

Also check out the Least Common Multiple of 78260 and 78273