What is the Greatest Common Factor of 4275 and 4284?

Greatest common factor (GCF) of 4275 and 4284 is 9.

GCF(4275,4284) = 9

We will now calculate the prime factors of 4275 and 4284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4275 and 4284.

How to find the GCF of 4275 and 4284?

We will first find the prime factorization of 4275 and 4284. After we will calculate the factors of 4275 and 4284 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 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 2² × 3² × 7¹ × 17¹

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 4284

List of positive integer factors of 4284 that divides 4275 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4275 and 4284. The biggest common factor number is the GCF number.
So the greatest common factor 4275 and 4284 is 9.

Also check out the Least Common Multiple of 4275 and 4284