What is the Greatest Common Factor of 78705 and 78716?

Greatest common factor (GCF) of 78705 and 78716 is 11.

GCF(78705,78716) = 11

We will now calculate the prime factors of 78705 and 78716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78705 and 78716.

How to find the GCF of 78705 and 78716?

We will first find the prime factorization of 78705 and 78716. After we will calculate the factors of 78705 and 78716 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 78716

Prime factors of 78716 are 2, 11, 1789. Prime factorization of 78716 in exponential form is:

78716 = 2² × 11¹ × 1789¹

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 78716

List of positive integer factors of 78716 that divides 78705 without a remainder.

1, 2, 4, 11, 22, 44, 1789, 3578, 7156, 19679, 39358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78705 and 78716. The biggest common factor number is the GCF number.
So the greatest common factor 78705 and 78716 is 11.

Also check out the Least Common Multiple of 78705 and 78716