What is the Greatest Common Factor of 71364 and 71381?

Greatest common factor (GCF) of 71364 and 71381 is 1.

GCF(71364,71381) = 1

We will now calculate the prime factors of 71364 and 71381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71364 and 71381.

How to find the GCF of 71364 and 71381?

We will first find the prime factorization of 71364 and 71381. After we will calculate the factors of 71364 and 71381 and find the biggest common factor number .

Step-1: Prime Factorization of 71364

Prime factors of 71364 are 2, 3, 19, 313. Prime factorization of 71364 in exponential form is:

71364 = 2² × 3¹ × 19¹ × 313¹

Step-2: Prime Factorization of 71381

Prime factors of 71381 are 41, 1741. Prime factorization of 71381 in exponential form is:

71381 = 41¹ × 1741¹

Step-3: Factors of 71364

List of positive integer factors of 71364 that divides 71364 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 313, 626, 939, 1252, 1878, 3756, 5947, 11894, 17841, 23788, 35682

Step-4: Factors of 71381

List of positive integer factors of 71381 that divides 71364 without a remainder.

1, 41, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71364 and 71381. The biggest common factor number is the GCF number.
So the greatest common factor 71364 and 71381 is 1.

Also check out the Least Common Multiple of 71364 and 71381