What is the Greatest Common Factor of 77394 and 77412?

Greatest common factor (GCF) of 77394 and 77412 is 6.

GCF(77394,77412) = 6

We will now calculate the prime factors of 77394 and 77412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77394 and 77412.

How to find the GCF of 77394 and 77412?

We will first find the prime factorization of 77394 and 77412. After we will calculate the factors of 77394 and 77412 and find the biggest common factor number .

Step-1: Prime Factorization of 77394

Prime factors of 77394 are 2, 3, 12899. Prime factorization of 77394 in exponential form is:

77394 = 2¹ × 3¹ × 12899¹

Step-2: Prime Factorization of 77412

Prime factors of 77412 are 2, 3, 6451. Prime factorization of 77412 in exponential form is:

77412 = 2² × 3¹ × 6451¹

Step-3: Factors of 77394

List of positive integer factors of 77394 that divides 77394 without a remainder.

1, 2, 3, 6, 12899, 25798, 38697

Step-4: Factors of 77412

List of positive integer factors of 77412 that divides 77394 without a remainder.

1, 2, 3, 4, 6, 12, 6451, 12902, 19353, 25804, 38706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77394 and 77412. The biggest common factor number is the GCF number.
So the greatest common factor 77394 and 77412 is 6.

Also check out the Least Common Multiple of 77394 and 77412