What is the Greatest Common Factor of 19275 and 19280?

Greatest common factor (GCF) of 19275 and 19280 is 5.

GCF(19275,19280) = 5

We will now calculate the prime factors of 19275 and 19280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19275 and 19280.

How to find the GCF of 19275 and 19280?

We will first find the prime factorization of 19275 and 19280. After we will calculate the factors of 19275 and 19280 and find the biggest common factor number .

Step-1: Prime Factorization of 19275

Prime factors of 19275 are 3, 5, 257. Prime factorization of 19275 in exponential form is:

19275 = 3¹ × 5² × 257¹

Step-2: Prime Factorization of 19280

Prime factors of 19280 are 2, 5, 241. Prime factorization of 19280 in exponential form is:

19280 = 2⁴ × 5¹ × 241¹

Step-3: Factors of 19275

List of positive integer factors of 19275 that divides 19275 without a remainder.

1, 3, 5, 15, 25, 75, 257, 771, 1285, 3855, 6425

Step-4: Factors of 19280

List of positive integer factors of 19280 that divides 19275 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 241, 482, 964, 1205, 1928, 2410, 3856, 4820, 9640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19275 and 19280. The biggest common factor number is the GCF number.
So the greatest common factor 19275 and 19280 is 5.

Also check out the Least Common Multiple of 19275 and 19280