What is the Greatest Common Factor of 4275 and 4290?

Greatest common factor (GCF) of 4275 and 4290 is 15.

GCF(4275,4290) = 15

We will now calculate the prime factors of 4275 and 4290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4275 and 4290.

How to find the GCF of 4275 and 4290?

We will first find the prime factorization of 4275 and 4290. After we will calculate the factors of 4275 and 4290 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 4290

Prime factors of 4290 are 2, 3, 5, 11, 13. Prime factorization of 4290 in exponential form is:

4290 = 2¹ × 3¹ × 5¹ × 11¹ × 13¹

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 4290

List of positive integer factors of 4290 that divides 4275 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4275 and 4290. The biggest common factor number is the GCF number.
So the greatest common factor 4275 and 4290 is 15.

Also check out the Least Common Multiple of 4275 and 4290