What is the Greatest Common Factor of 4319 and 4326?

Greatest common factor (GCF) of 4319 and 4326 is 7.

GCF(4319,4326) = 7

We will now calculate the prime factors of 4319 and 4326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4319 and 4326.

How to find the GCF of 4319 and 4326?

We will first find the prime factorization of 4319 and 4326. After we will calculate the factors of 4319 and 4326 and find the biggest common factor number .

Step-1: Prime Factorization of 4319

Prime factors of 4319 are 7, 617. Prime factorization of 4319 in exponential form is:

4319 = 7¹ × 617¹

Step-2: 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-3: Factors of 4319

List of positive integer factors of 4319 that divides 4319 without a remainder.

1, 7, 617

Step-4: Factors of 4326

List of positive integer factors of 4326 that divides 4319 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4319 and 4326. The biggest common factor number is the GCF number.
So the greatest common factor 4319 and 4326 is 7.

Also check out the Least Common Multiple of 4319 and 4326