What is the Greatest Common Factor of 77394 and 77414?

Greatest common factor (GCF) of 77394 and 77414 is 2.

GCF(77394,77414) = 2

We will now calculate the prime factors of 77394 and 77414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77394 and 77414.

How to find the GCF of 77394 and 77414?

We will first find the prime factorization of 77394 and 77414. After we will calculate the factors of 77394 and 77414 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 77414

Prime factors of 77414 are 2, 38707. Prime factorization of 77414 in exponential form is:

77414 = 2¹ × 38707¹

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 77414

List of positive integer factors of 77414 that divides 77394 without a remainder.

1, 2, 38707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77394 and 77414. The biggest common factor number is the GCF number.
So the greatest common factor 77394 and 77414 is 2.

Also check out the Least Common Multiple of 77394 and 77414