What is the Greatest Common Factor of 4275 and 4280?

Greatest common factor (GCF) of 4275 and 4280 is 5.

GCF(4275,4280) = 5

We will now calculate the prime factors of 4275 and 4280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4275 and 4280.

How to find the GCF of 4275 and 4280?

We will first find the prime factorization of 4275 and 4280. After we will calculate the factors of 4275 and 4280 and find the biggest common factor number .

Step-1: Prime Factorization of 4275

Prime factors of 4275 are 3, 5, 19. Prime factorization of 4275 in exponential form is:

4275 = 3² × 5² × 19¹

Step-2: Prime Factorization of 4280

Prime factors of 4280 are 2, 5, 107. Prime factorization of 4280 in exponential form is:

4280 = 2³ × 5¹ × 107¹

Step-3: Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425

Step-4: Factors of 4280

List of positive integer factors of 4280 that divides 4275 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4275 and 4280. The biggest common factor number is the GCF number.
So the greatest common factor 4275 and 4280 is 5.

Also check out the Least Common Multiple of 4275 and 4280