What is the Greatest Common Factor of 78723 and 78738?

Greatest common factor (GCF) of 78723 and 78738 is 3.

GCF(78723,78738) = 3

We will now calculate the prime factors of 78723 and 78738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78723 and 78738.

How to find the GCF of 78723 and 78738?

We will first find the prime factorization of 78723 and 78738. After we will calculate the factors of 78723 and 78738 and find the biggest common factor number .

Step-1: Prime Factorization of 78723

Prime factors of 78723 are 3, 8747. Prime factorization of 78723 in exponential form is:

78723 = 3² × 8747¹

Step-2: Prime Factorization of 78738

Prime factors of 78738 are 2, 3, 11, 1193. Prime factorization of 78738 in exponential form is:

78738 = 2¹ × 3¹ × 11¹ × 1193¹

Step-3: Factors of 78723

List of positive integer factors of 78723 that divides 78723 without a remainder.

1, 3, 9, 8747, 26241

Step-4: Factors of 78738

List of positive integer factors of 78738 that divides 78723 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1193, 2386, 3579, 7158, 13123, 26246, 39369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78723 and 78738. The biggest common factor number is the GCF number.
So the greatest common factor 78723 and 78738 is 3.

Also check out the Least Common Multiple of 78723 and 78738