What is the Greatest Common Factor of 4330 and 4340?

Greatest common factor (GCF) of 4330 and 4340 is 10.

GCF(4330,4340) = 10

We will now calculate the prime factors of 4330 and 4340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4330 and 4340.

How to find the GCF of 4330 and 4340?

We will first find the prime factorization of 4330 and 4340. After we will calculate the factors of 4330 and 4340 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 4340

Prime factors of 4340 are 2, 5, 7, 31. Prime factorization of 4340 in exponential form is:

4340 = 2² × 5¹ × 7¹ × 31¹

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 4340

List of positive integer factors of 4340 that divides 4330 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4330 and 4340. The biggest common factor number is the GCF number.
So the greatest common factor 4330 and 4340 is 10.

Also check out the Least Common Multiple of 4330 and 4340