What is the Greatest Common Factor of 4290 and 4305?

Greatest common factor (GCF) of 4290 and 4305 is 15.

GCF(4290,4305) = 15

We will now calculate the prime factors of 4290 and 4305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4290 and 4305.

How to find the GCF of 4290 and 4305?

We will first find the prime factorization of 4290 and 4305. After we will calculate the factors of 4290 and 4305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4305

Prime factors of 4305 are 3, 5, 7, 41. Prime factorization of 4305 in exponential form is:

4305 = 3¹ × 5¹ × 7¹ × 41¹

Step-3: Factors of 4290

List of positive integer factors of 4290 that divides 4290 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

Step-4: Factors of 4305

List of positive integer factors of 4305 that divides 4290 without a remainder.

1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4290 and 4305. The biggest common factor number is the GCF number.
So the greatest common factor 4290 and 4305 is 15.

Also check out the Least Common Multiple of 4290 and 4305