What is the Greatest Common Factor of 77382 and 77388?

Greatest common factor (GCF) of 77382 and 77388 is 6.

GCF(77382,77388) = 6

We will now calculate the prime factors of 77382 and 77388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77382 and 77388.

How to find the GCF of 77382 and 77388?

We will first find the prime factorization of 77382 and 77388. After we will calculate the factors of 77382 and 77388 and find the biggest common factor number .

Step-1: Prime Factorization of 77382

Prime factors of 77382 are 2, 3, 1433. Prime factorization of 77382 in exponential form is:

77382 = 2¹ × 3³ × 1433¹

Step-2: 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-3: Factors of 77382

List of positive integer factors of 77382 that divides 77382 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1433, 2866, 4299, 8598, 12897, 25794, 38691

Step-4: Factors of 77388

List of positive integer factors of 77388 that divides 77382 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77382 and 77388. The biggest common factor number is the GCF number.
So the greatest common factor 77382 and 77388 is 6.

Also check out the Least Common Multiple of 77382 and 77388