What is the Greatest Common Factor of 19356 and 19371?

Greatest common factor (GCF) of 19356 and 19371 is 3.

GCF(19356,19371) = 3

We will now calculate the prime factors of 19356 and 19371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19356 and 19371.

How to find the GCF of 19356 and 19371?

We will first find the prime factorization of 19356 and 19371. After we will calculate the factors of 19356 and 19371 and find the biggest common factor number .

Step-1: Prime Factorization of 19356

Prime factors of 19356 are 2, 3, 1613. Prime factorization of 19356 in exponential form is:

19356 = 2² × 3¹ × 1613¹

Step-2: Prime Factorization of 19371

Prime factors of 19371 are 3, 11, 587. Prime factorization of 19371 in exponential form is:

19371 = 3¹ × 11¹ × 587¹

Step-3: Factors of 19356

List of positive integer factors of 19356 that divides 19356 without a remainder.

1, 2, 3, 4, 6, 12, 1613, 3226, 4839, 6452, 9678

Step-4: Factors of 19371

List of positive integer factors of 19371 that divides 19356 without a remainder.

1, 3, 11, 33, 587, 1761, 6457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19356 and 19371. The biggest common factor number is the GCF number.
So the greatest common factor 19356 and 19371 is 3.

Also check out the Least Common Multiple of 19356 and 19371