What is the Greatest Common Factor of 4317 and 4335?

Greatest common factor (GCF) of 4317 and 4335 is 3.

GCF(4317,4335) = 3

We will now calculate the prime factors of 4317 and 4335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4317 and 4335.

How to find the GCF of 4317 and 4335?

We will first find the prime factorization of 4317 and 4335. After we will calculate the factors of 4317 and 4335 and find the biggest common factor number .

Step-1: Prime Factorization of 4317

Prime factors of 4317 are 3, 1439. Prime factorization of 4317 in exponential form is:

4317 = 3¹ × 1439¹

Step-2: Prime Factorization of 4335

Prime factors of 4335 are 3, 5, 17. Prime factorization of 4335 in exponential form is:

4335 = 3¹ × 5¹ × 17²

Step-3: Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1, 3, 1439

Step-4: Factors of 4335

List of positive integer factors of 4335 that divides 4317 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4317 and 4335. The biggest common factor number is the GCF number.
So the greatest common factor 4317 and 4335 is 3.

Also check out the Least Common Multiple of 4317 and 4335