What is the Greatest Common Factor of 4347 and 4354?

Greatest common factor (GCF) of 4347 and 4354 is 7.

GCF(4347,4354) = 7

We will now calculate the prime factors of 4347 and 4354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4347 and 4354.

How to find the GCF of 4347 and 4354?

We will first find the prime factorization of 4347 and 4354. After we will calculate the factors of 4347 and 4354 and find the biggest common factor number .

Step-1: Prime Factorization of 4347

Prime factors of 4347 are 3, 7, 23. Prime factorization of 4347 in exponential form is:

4347 = 3³ × 7¹ × 23¹

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 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449

Step-4: Factors of 4354

List of positive integer factors of 4354 that divides 4347 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4347 and 4354. The biggest common factor number is the GCF number.
So the greatest common factor 4347 and 4354 is 7.

Also check out the Least Common Multiple of 4347 and 4354