What is the Greatest Common Factor of 15337 and 15344?

Greatest common factor (GCF) of 15337 and 15344 is 7.

GCF(15337,15344) = 7

We will now calculate the prime factors of 15337 and 15344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15337 and 15344.

How to find the GCF of 15337 and 15344?

We will first find the prime factorization of 15337 and 15344. After we will calculate the factors of 15337 and 15344 and find the biggest common factor number .

Step-1: Prime Factorization of 15337

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

15337 = 7² × 313¹

Step-2: Prime Factorization of 15344

Prime factors of 15344 are 2, 7, 137. Prime factorization of 15344 in exponential form is:

15344 = 2⁴ × 7¹ × 137¹

Step-3: Factors of 15337

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

1, 7, 49, 313, 2191

Step-4: Factors of 15344

List of positive integer factors of 15344 that divides 15337 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 137, 274, 548, 959, 1096, 1918, 2192, 3836, 7672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15337 and 15344. The biggest common factor number is the GCF number.
So the greatest common factor 15337 and 15344 is 7.

Also check out the Least Common Multiple of 15337 and 15344