What is the Greatest Common Factor of 4330 and 4350?

Greatest common factor (GCF) of 4330 and 4350 is 10.

GCF(4330,4350) = 10

We will now calculate the prime factors of 4330 and 4350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4330 and 4350.

How to find the GCF of 4330 and 4350?

We will first find the prime factorization of 4330 and 4350. After we will calculate the factors of 4330 and 4350 and find the biggest common factor number .

Step-1: Prime Factorization of 4330

Prime factors of 4330 are 2, 5, 433. Prime factorization of 4330 in exponential form is:

4330 = 2¹ × 5¹ × 433¹

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 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1, 2, 5, 10, 433, 866, 2165

Step-4: Factors of 4350

List of positive integer factors of 4350 that divides 4330 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 4330 and 4350. The biggest common factor number is the GCF number.
So the greatest common factor 4330 and 4350 is 10.

Also check out the Least Common Multiple of 4330 and 4350