What is the Greatest Common Factor of 4334 and 4338?

Greatest common factor (GCF) of 4334 and 4338 is 2.

GCF(4334,4338) = 2

We will now calculate the prime factors of 4334 and 4338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4334 and 4338.

How to find the GCF of 4334 and 4338?

We will first find the prime factorization of 4334 and 4338. After we will calculate the factors of 4334 and 4338 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 4338

Prime factors of 4338 are 2, 3, 241. Prime factorization of 4338 in exponential form is:

4338 = 2¹ × 3² × 241¹

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 4338

List of positive integer factors of 4338 that divides 4334 without a remainder.

1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4334 and 4338. The biggest common factor number is the GCF number.
So the greatest common factor 4334 and 4338 is 2.

Also check out the Least Common Multiple of 4334 and 4338