What is the Greatest Common Factor of 78705 and 78723?

Greatest common factor (GCF) of 78705 and 78723 is 9.

GCF(78705,78723) = 9

We will now calculate the prime factors of 78705 and 78723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78705 and 78723.

How to find the GCF of 78705 and 78723?

We will first find the prime factorization of 78705 and 78723. After we will calculate the factors of 78705 and 78723 and find the biggest common factor number .

Step-1: Prime Factorization of 78705

Prime factors of 78705 are 3, 5, 11, 53. Prime factorization of 78705 in exponential form is:

78705 = 3³ × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 78723

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

78723 = 3² × 8747¹

Step-3: Factors of 78705

List of positive integer factors of 78705 that divides 78705 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 53, 55, 99, 135, 159, 165, 265, 297, 477, 495, 583, 795, 1431, 1485, 1749, 2385, 2915, 5247, 7155, 8745, 15741, 26235

Step-4: Factors of 78723

List of positive integer factors of 78723 that divides 78705 without a remainder.

1, 3, 9, 8747, 26241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78705 and 78723. The biggest common factor number is the GCF number.
So the greatest common factor 78705 and 78723 is 9.

Also check out the Least Common Multiple of 78705 and 78723