What is the Greatest Common Factor of 17319 and 17337?

Greatest common factor (GCF) of 17319 and 17337 is 3.

GCF(17319,17337) = 3

We will now calculate the prime factors of 17319 and 17337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17319 and 17337.

How to find the GCF of 17319 and 17337?

We will first find the prime factorization of 17319 and 17337. After we will calculate the factors of 17319 and 17337 and find the biggest common factor number .

Step-1: Prime Factorization of 17319

Prime factors of 17319 are 3, 23, 251. Prime factorization of 17319 in exponential form is:

17319 = 3¹ × 23¹ × 251¹

Step-2: Prime Factorization of 17337

Prime factors of 17337 are 3, 5779. Prime factorization of 17337 in exponential form is:

17337 = 3¹ × 5779¹

Step-3: Factors of 17319

List of positive integer factors of 17319 that divides 17319 without a remainder.

1, 3, 23, 69, 251, 753, 5773

Step-4: Factors of 17337

List of positive integer factors of 17337 that divides 17319 without a remainder.

1, 3, 5779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17319 and 17337. The biggest common factor number is the GCF number.
So the greatest common factor 17319 and 17337 is 3.

Also check out the Least Common Multiple of 17319 and 17337