What is the Greatest Common Factor of 78275 and 78280?

Greatest common factor (GCF) of 78275 and 78280 is 5.

GCF(78275,78280) = 5

We will now calculate the prime factors of 78275 and 78280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78275 and 78280.

How to find the GCF of 78275 and 78280?

We will first find the prime factorization of 78275 and 78280. After we will calculate the factors of 78275 and 78280 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78280

Prime factors of 78280 are 2, 5, 19, 103. Prime factorization of 78280 in exponential form is:

78280 = 2³ × 5¹ × 19¹ × 103¹

Step-3: Factors of 78275

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

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

Step-4: Factors of 78280

List of positive integer factors of 78280 that divides 78275 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 103, 152, 190, 206, 380, 412, 515, 760, 824, 1030, 1957, 2060, 3914, 4120, 7828, 9785, 15656, 19570, 39140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78275 and 78280. The biggest common factor number is the GCF number.
So the greatest common factor 78275 and 78280 is 5.

Also check out the Least Common Multiple of 78275 and 78280