What is the Greatest Common Factor of 15338 and 15347?

Greatest common factor (GCF) of 15338 and 15347 is 1.

GCF(15338,15347) = 1

We will now calculate the prime factors of 15338 and 15347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15338 and 15347.

How to find the GCF of 15338 and 15347?

We will first find the prime factorization of 15338 and 15347. After we will calculate the factors of 15338 and 15347 and find the biggest common factor number .

Step-1: Prime Factorization of 15338

Prime factors of 15338 are 2, 7669. Prime factorization of 15338 in exponential form is:

15338 = 2¹ × 7669¹

Step-2: Prime Factorization of 15347

Prime factors of 15347 are 103, 149. Prime factorization of 15347 in exponential form is:

15347 = 103¹ × 149¹

Step-3: Factors of 15338

List of positive integer factors of 15338 that divides 15338 without a remainder.

1, 2, 7669

Step-4: Factors of 15347

List of positive integer factors of 15347 that divides 15338 without a remainder.

1, 103, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15338 and 15347. The biggest common factor number is the GCF number.
So the greatest common factor 15338 and 15347 is 1.

Also check out the Least Common Multiple of 15338 and 15347