What is the Greatest Common Factor of 78905 and 78913?

Greatest common factor (GCF) of 78905 and 78913 is 1.

GCF(78905,78913) = 1

We will now calculate the prime factors of 78905 and 78913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78905 and 78913.

How to find the GCF of 78905 and 78913?

We will first find the prime factorization of 78905 and 78913. After we will calculate the factors of 78905 and 78913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78913

Prime factors of 78913 are 23, 47, 73. Prime factorization of 78913 in exponential form is:

78913 = 23¹ × 47¹ × 73¹

Step-3: Factors of 78905

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

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

Step-4: Factors of 78913

List of positive integer factors of 78913 that divides 78905 without a remainder.

1, 23, 47, 73, 1081, 1679, 3431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78905 and 78913. The biggest common factor number is the GCF number.
So the greatest common factor 78905 and 78913 is 1.

Also check out the Least Common Multiple of 78905 and 78913