What is the Greatest Common Factor of 17273 and 17279?

Greatest common factor (GCF) of 17273 and 17279 is 1.

GCF(17273,17279) = 1

We will now calculate the prime factors of 17273 and 17279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17273 and 17279.

How to find the GCF of 17273 and 17279?

We will first find the prime factorization of 17273 and 17279. After we will calculate the factors of 17273 and 17279 and find the biggest common factor number .

Step-1: Prime Factorization of 17273

Prime factors of 17273 are 23, 751. Prime factorization of 17273 in exponential form is:

17273 = 23¹ × 751¹

Step-2: Prime Factorization of 17279

Prime factors of 17279 are 37, 467. Prime factorization of 17279 in exponential form is:

17279 = 37¹ × 467¹

Step-3: Factors of 17273

List of positive integer factors of 17273 that divides 17273 without a remainder.

1, 23, 751

Step-4: Factors of 17279

List of positive integer factors of 17279 that divides 17273 without a remainder.

1, 37, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17273 and 17279. The biggest common factor number is the GCF number.
So the greatest common factor 17273 and 17279 is 1.

Also check out the Least Common Multiple of 17273 and 17279