What is the Greatest Common Factor of 77388 and 77397?

Greatest common factor (GCF) of 77388 and 77397 is 3.

GCF(77388,77397) = 3

We will now calculate the prime factors of 77388 and 77397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77388 and 77397.

How to find the GCF of 77388 and 77397?

We will first find the prime factorization of 77388 and 77397. After we will calculate the factors of 77388 and 77397 and find the biggest common factor number .

Step-1: Prime Factorization of 77388

Prime factors of 77388 are 2, 3, 6449. Prime factorization of 77388 in exponential form is:

77388 = 2² × 3¹ × 6449¹

Step-2: Prime Factorization of 77397

Prime factors of 77397 are 3, 25799. Prime factorization of 77397 in exponential form is:

77397 = 3¹ × 25799¹

Step-3: Factors of 77388

List of positive integer factors of 77388 that divides 77388 without a remainder.

1, 2, 3, 4, 6, 12, 6449, 12898, 19347, 25796, 38694

Step-4: Factors of 77397

List of positive integer factors of 77397 that divides 77388 without a remainder.

1, 3, 25799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77388 and 77397. The biggest common factor number is the GCF number.
So the greatest common factor 77388 and 77397 is 3.

Also check out the Least Common Multiple of 77388 and 77397