What is the Greatest Common Factor of 15323 and 15337?

Greatest common factor (GCF) of 15323 and 15337 is 7.

GCF(15323,15337) = 7

We will now calculate the prime factors of 15323 and 15337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15323 and 15337.

How to find the GCF of 15323 and 15337?

We will first find the prime factorization of 15323 and 15337. After we will calculate the factors of 15323 and 15337 and find the biggest common factor number .

Step-1: Prime Factorization of 15323

Prime factors of 15323 are 7, 11, 199. Prime factorization of 15323 in exponential form is:

15323 = 7¹ × 11¹ × 199¹

Step-2: Prime Factorization of 15337

Prime factors of 15337 are 7, 313. Prime factorization of 15337 in exponential form is:

15337 = 7² × 313¹

Step-3: Factors of 15323

List of positive integer factors of 15323 that divides 15323 without a remainder.

1, 7, 11, 77, 199, 1393, 2189

Step-4: Factors of 15337

List of positive integer factors of 15337 that divides 15323 without a remainder.

1, 7, 49, 313, 2191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15323 and 15337. The biggest common factor number is the GCF number.
So the greatest common factor 15323 and 15337 is 7.

Also check out the Least Common Multiple of 15323 and 15337