What is the Greatest Common Factor of 76371 and 76386?

Greatest common factor (GCF) of 76371 and 76386 is 3.

GCF(76371,76386) = 3

We will now calculate the prime factors of 76371 and 76386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76371 and 76386.

How to find the GCF of 76371 and 76386?

We will first find the prime factorization of 76371 and 76386. After we will calculate the factors of 76371 and 76386 and find the biggest common factor number .

Step-1: Prime Factorization of 76371

Prime factors of 76371 are 3, 25457. Prime factorization of 76371 in exponential form is:

76371 = 3¹ × 25457¹

Step-2: Prime Factorization of 76386

Prime factors of 76386 are 2, 3, 29, 439. Prime factorization of 76386 in exponential form is:

76386 = 2¹ × 3¹ × 29¹ × 439¹

Step-3: Factors of 76371

List of positive integer factors of 76371 that divides 76371 without a remainder.

1, 3, 25457

Step-4: Factors of 76386

List of positive integer factors of 76386 that divides 76371 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 439, 878, 1317, 2634, 12731, 25462, 38193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76371 and 76386. The biggest common factor number is the GCF number.
So the greatest common factor 76371 and 76386 is 3.

Also check out the Least Common Multiple of 76371 and 76386