What is the Greatest Common Factor of 4290 and 4299?

Greatest common factor (GCF) of 4290 and 4299 is 3.

GCF(4290,4299) = 3

We will now calculate the prime factors of 4290 and 4299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4290 and 4299.

How to find the GCF of 4290 and 4299?

We will first find the prime factorization of 4290 and 4299. After we will calculate the factors of 4290 and 4299 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 4299

Prime factors of 4299 are 3, 1433. Prime factorization of 4299 in exponential form is:

4299 = 3¹ × 1433¹

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 4299

List of positive integer factors of 4299 that divides 4290 without a remainder.

1, 3, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4290 and 4299. The biggest common factor number is the GCF number.
So the greatest common factor 4290 and 4299 is 3.

Also check out the Least Common Multiple of 4290 and 4299