What is the Greatest Common Factor of 4346 and 4354?

Greatest common factor (GCF) of 4346 and 4354 is 2.

GCF(4346,4354) = 2

We will now calculate the prime factors of 4346 and 4354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4346 and 4354.

How to find the GCF of 4346 and 4354?

We will first find the prime factorization of 4346 and 4354. After we will calculate the factors of 4346 and 4354 and find the biggest common factor number .

Step-1: Prime Factorization of 4346

Prime factors of 4346 are 2, 41, 53. Prime factorization of 4346 in exponential form is:

4346 = 2¹ × 41¹ × 53¹

Step-2: Prime Factorization of 4354

Prime factors of 4354 are 2, 7, 311. Prime factorization of 4354 in exponential form is:

4354 = 2¹ × 7¹ × 311¹

Step-3: Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1, 2, 41, 53, 82, 106, 2173

Step-4: Factors of 4354

List of positive integer factors of 4354 that divides 4346 without a remainder.

1, 2, 7, 14, 311, 622, 2177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4346 and 4354. The biggest common factor number is the GCF number.
So the greatest common factor 4346 and 4354 is 2.

Also check out the Least Common Multiple of 4346 and 4354