What is the Greatest Common Factor of 4305 and 4319?

Greatest common factor (GCF) of 4305 and 4319 is 7.

GCF(4305,4319) = 7

We will now calculate the prime factors of 4305 and 4319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4305 and 4319.

How to find the GCF of 4305 and 4319?

We will first find the prime factorization of 4305 and 4319. After we will calculate the factors of 4305 and 4319 and find the biggest common factor number .

Step-1: Prime Factorization of 4305

Prime factors of 4305 are 3, 5, 7, 41. Prime factorization of 4305 in exponential form is:

4305 = 3¹ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 4319

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

4319 = 7¹ × 617¹

Step-3: Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435

Step-4: Factors of 4319

List of positive integer factors of 4319 that divides 4305 without a remainder.

1, 7, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4305 and 4319. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4319 is 7.

Also check out the Least Common Multiple of 4305 and 4319