What is the Greatest Common Factor of 78538 and 78547?

Greatest common factor (GCF) of 78538 and 78547 is 1.

GCF(78538,78547) = 1

We will now calculate the prime factors of 78538 and 78547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78538 and 78547.

How to find the GCF of 78538 and 78547?

We will first find the prime factorization of 78538 and 78547. After we will calculate the factors of 78538 and 78547 and find the biggest common factor number .

Step-1: Prime Factorization of 78538

Prime factors of 78538 are 2, 107, 367. Prime factorization of 78538 in exponential form is:

78538 = 2¹ × 107¹ × 367¹

Step-2: Prime Factorization of 78547

Prime factors of 78547 are 7, 229. Prime factorization of 78547 in exponential form is:

78547 = 7³ × 229¹

Step-3: Factors of 78538

List of positive integer factors of 78538 that divides 78538 without a remainder.

1, 2, 107, 214, 367, 734, 39269

Step-4: Factors of 78547

List of positive integer factors of 78547 that divides 78538 without a remainder.

1, 7, 49, 229, 343, 1603, 11221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78538 and 78547. The biggest common factor number is the GCF number.
So the greatest common factor 78538 and 78547 is 1.

Also check out the Least Common Multiple of 78538 and 78547