What is the Greatest Common Factor of 15352 and 15371?

Greatest common factor (GCF) of 15352 and 15371 is 19.

GCF(15352,15371) = 19

We will now calculate the prime factors of 15352 and 15371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15352 and 15371.

How to find the GCF of 15352 and 15371?

We will first find the prime factorization of 15352 and 15371. After we will calculate the factors of 15352 and 15371 and find the biggest common factor number .

Step-1: Prime Factorization of 15352

Prime factors of 15352 are 2, 19, 101. Prime factorization of 15352 in exponential form is:

15352 = 2³ × 19¹ × 101¹

Step-2: Prime Factorization of 15371

Prime factors of 15371 are 19, 809. Prime factorization of 15371 in exponential form is:

15371 = 19¹ × 809¹

Step-3: Factors of 15352

List of positive integer factors of 15352 that divides 15352 without a remainder.

1, 2, 4, 8, 19, 38, 76, 101, 152, 202, 404, 808, 1919, 3838, 7676

Step-4: Factors of 15371

List of positive integer factors of 15371 that divides 15352 without a remainder.

1, 19, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15352 and 15371. The biggest common factor number is the GCF number.
So the greatest common factor 15352 and 15371 is 19.

Also check out the Least Common Multiple of 15352 and 15371