What is the Greatest Common Factor of 4334 and 4348?

Greatest common factor (GCF) of 4334 and 4348 is 2.

GCF(4334,4348) = 2

We will now calculate the prime factors of 4334 and 4348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4334 and 4348.

How to find the GCF of 4334 and 4348?

We will first find the prime factorization of 4334 and 4348. After we will calculate the factors of 4334 and 4348 and find the biggest common factor number .

Step-1: Prime Factorization of 4334

Prime factors of 4334 are 2, 11, 197. Prime factorization of 4334 in exponential form is:

4334 = 2¹ × 11¹ × 197¹

Step-2: Prime Factorization of 4348

Prime factors of 4348 are 2, 1087. Prime factorization of 4348 in exponential form is:

4348 = 2² × 1087¹

Step-3: Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1, 2, 11, 22, 197, 394, 2167

Step-4: Factors of 4348

List of positive integer factors of 4348 that divides 4334 without a remainder.

1, 2, 4, 1087, 2174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4334 and 4348. The biggest common factor number is the GCF number.
So the greatest common factor 4334 and 4348 is 2.

Also check out the Least Common Multiple of 4334 and 4348