What is the Greatest Common Factor of 4335 and 4350?

Greatest common factor (GCF) of 4335 and 4350 is 15.

GCF(4335,4350) = 15

We will now calculate the prime factors of 4335 and 4350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4335 and 4350.

How to find the GCF of 4335 and 4350?

We will first find the prime factorization of 4335 and 4350. After we will calculate the factors of 4335 and 4350 and find the biggest common factor number .

Step-1: Prime Factorization of 4335

Prime factors of 4335 are 3, 5, 17. Prime factorization of 4335 in exponential form is:

4335 = 3¹ × 5¹ × 17²

Step-2: Prime Factorization of 4350

Prime factors of 4350 are 2, 3, 5, 29. Prime factorization of 4350 in exponential form is:

4350 = 2¹ × 3¹ × 5² × 29¹

Step-3: Factors of 4335

List of positive integer factors of 4335 that divides 4335 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445

Step-4: Factors of 4350

List of positive integer factors of 4350 that divides 4335 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4335 and 4350. The biggest common factor number is the GCF number.
So the greatest common factor 4335 and 4350 is 15.

Also check out the Least Common Multiple of 4335 and 4350