What is the Greatest Common Factor of 78260 and 78275?

Greatest common factor (GCF) of 78260 and 78275 is 5.

GCF(78260,78275) = 5

We will now calculate the prime factors of 78260 and 78275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78260 and 78275.

How to find the GCF of 78260 and 78275?

We will first find the prime factorization of 78260 and 78275. After we will calculate the factors of 78260 and 78275 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 78275

Prime factors of 78275 are 5, 31, 101. Prime factorization of 78275 in exponential form is:

78275 = 5² × 31¹ × 101¹

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 78275

List of positive integer factors of 78275 that divides 78260 without a remainder.

1, 5, 25, 31, 101, 155, 505, 775, 2525, 3131, 15655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78260 and 78275. The biggest common factor number is the GCF number.
So the greatest common factor 78260 and 78275 is 5.

Also check out the Least Common Multiple of 78260 and 78275