What is the Greatest Common Factor of 4326 and 4341?

Greatest common factor (GCF) of 4326 and 4341 is 3.

GCF(4326,4341) = 3

We will now calculate the prime factors of 4326 and 4341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4326 and 4341.

How to find the GCF of 4326 and 4341?

We will first find the prime factorization of 4326 and 4341. After we will calculate the factors of 4326 and 4341 and find the biggest common factor number .

Step-1: Prime Factorization of 4326

Prime factors of 4326 are 2, 3, 7, 103. Prime factorization of 4326 in exponential form is:

4326 = 2¹ × 3¹ × 7¹ × 103¹

Step-2: Prime Factorization of 4341

Prime factors of 4341 are 3, 1447. Prime factorization of 4341 in exponential form is:

4341 = 3¹ × 1447¹

Step-3: Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163

Step-4: Factors of 4341

List of positive integer factors of 4341 that divides 4326 without a remainder.

1, 3, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4326 and 4341. The biggest common factor number is the GCF number.
So the greatest common factor 4326 and 4341 is 3.

Also check out the Least Common Multiple of 4326 and 4341