What is the Greatest Common Factor of 8319 and 8335?

Greatest common factor (GCF) of 8319 and 8335 is 1.

GCF(8319,8335) = 1

We will now calculate the prime factors of 8319 and 8335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8319 and 8335.

How to find the GCF of 8319 and 8335?

We will first find the prime factorization of 8319 and 8335. After we will calculate the factors of 8319 and 8335 and find the biggest common factor number .

Step-1: Prime Factorization of 8319

Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:

8319 = 3¹ × 47¹ × 59¹

Step-2: Prime Factorization of 8335

Prime factors of 8335 are 5, 1667. Prime factorization of 8335 in exponential form is:

8335 = 5¹ × 1667¹

Step-3: Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1, 3, 47, 59, 141, 177, 2773

Step-4: Factors of 8335

List of positive integer factors of 8335 that divides 8319 without a remainder.

1, 5, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8319 and 8335. The biggest common factor number is the GCF number.
So the greatest common factor 8319 and 8335 is 1.

Also check out the Least Common Multiple of 8319 and 8335