What is the Greatest Common Factor of 78885 and 78905?

Greatest common factor (GCF) of 78885 and 78905 is 5.

GCF(78885,78905) = 5

We will now calculate the prime factors of 78885 and 78905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78885 and 78905.

How to find the GCF of 78885 and 78905?

We will first find the prime factorization of 78885 and 78905. After we will calculate the factors of 78885 and 78905 and find the biggest common factor number .

Step-1: Prime Factorization of 78885

Prime factors of 78885 are 3, 5, 1753. Prime factorization of 78885 in exponential form is:

78885 = 3² × 5¹ × 1753¹

Step-2: Prime Factorization of 78905

Prime factors of 78905 are 5, 43, 367. Prime factorization of 78905 in exponential form is:

78905 = 5¹ × 43¹ × 367¹

Step-3: Factors of 78885

List of positive integer factors of 78885 that divides 78885 without a remainder.

1, 3, 5, 9, 15, 45, 1753, 5259, 8765, 15777, 26295

Step-4: Factors of 78905

List of positive integer factors of 78905 that divides 78885 without a remainder.

1, 5, 43, 215, 367, 1835, 15781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78885 and 78905. The biggest common factor number is the GCF number.
So the greatest common factor 78885 and 78905 is 5.

Also check out the Least Common Multiple of 78885 and 78905